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Finding the Fourth Proportional to 22,635.91, 31,237.65 and 12,564.55

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Solution

The fourth proportional to 22,635.91, 31,237.65 and 12,564.55 is: 17,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.91 : 31,237.65 = 12,564.55 : x
  2. Step 2: Convert to fraction form
    22,635.91/31,237.65 = 12,564.55/x
  3. Step 3: Cross multiply
    22,635.91x = 31,237.65 × 12,564.55
  4. Step 4: Simplify right side
    22,635.91x = 392,487,015.31
  5. Step 5: Solve for x
    x = 392,487,015.31/22,635.91
  6. Step 6: Final answer
    x = 17,339.13

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