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Finding the Fourth Proportional to 22,252.50, 30,708.54 and 12,316.50

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Solution

The fourth proportional to 22,252.50, 30,708.54 and 12,316.50 is: 16,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.50 : 30,708.54 = 12,316.50 : x
  2. Step 2: Convert to fraction form
    22,252.50/30,708.54 = 12,316.50/x
  3. Step 3: Cross multiply
    22,252.50x = 30,708.54 × 12,316.50
  4. Step 4: Simplify right side
    22,252.50x = 378,221,732.91
  5. Step 5: Solve for x
    x = 378,221,732.91/22,252.50
  6. Step 6: Final answer
    x = 16,996.82

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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.