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Finding the Fourth Proportional to 22,604.76, 31,193.73 and 12,533.38

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Solution

The fourth proportional to 22,604.76, 31,193.73 and 12,533.38 is: 17,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.76 : 31,193.73 = 12,533.38 : x
  2. Step 2: Convert to fraction form
    22,604.76/31,193.73 = 12,533.38/x
  3. Step 3: Cross multiply
    22,604.76x = 31,193.73 × 12,533.38
  4. Step 4: Simplify right side
    22,604.76x = 390,962,793.72
  5. Step 5: Solve for x
    x = 390,962,793.72/22,604.76
  6. Step 6: Final answer
    x = 17,295.60

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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.