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Finding the Fourth Proportional to 22,635.73, 31,237 and 12,564.15

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Solution

The fourth proportional to 22,635.73, 31,237 and 12,564.15 is: 17,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.73 : 31,237 = 12,564.15 : x
  2. Step 2: Convert to fraction form
    22,635.73/31,237 = 12,564.15/x
  3. Step 3: Cross multiply
    22,635.73x = 31,237 × 12,564.15
  4. Step 4: Simplify right side
    22,635.73x = 392,466,353.55
  5. Step 5: Solve for x
    x = 392,466,353.55/22,635.73
  6. Step 6: Final answer
    x = 17,338.36

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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.