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Finding the Fourth Proportional to 22,784,230.76, 31,442,533.76 and 12,470,732.42

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Solution

The fourth proportional to 22,784,230.76, 31,442,533.76 and 12,470,732.42 is: 17,209,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784,230.76 : 31,442,533.76 = 12,470,732.42 : x
  2. Step 2: Convert to fraction form
    22,784,230.76/31,442,533.76 = 12,470,732.42/x
  3. Step 3: Cross multiply
    22,784,230.76x = 31,442,533.76 × 12,470,732.42
  4. Step 4: Simplify right side
    22,784,230.76x = 392,111,425,127,776.50
  5. Step 5: Solve for x
    x = 392,111,425,127,776.50/22,784,230.76
  6. Step 6: Final answer
    x = 17,209,772.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.