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Finding the Fourth Proportional to 22,688.14, 31,310.31 and 13,737.28

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Solution

The fourth proportional to 22,688.14, 31,310.31 and 13,737.28 is: 18,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688.14 : 31,310.31 = 13,737.28 : x
  2. Step 2: Convert to fraction form
    22,688.14/31,310.31 = 13,737.28/x
  3. Step 3: Cross multiply
    22,688.14x = 31,310.31 × 13,737.28
  4. Step 4: Simplify right side
    22,688.14x = 430,118,495.36
  5. Step 5: Solve for x
    x = 430,118,495.36/22,688.14
  6. Step 6: Final answer
    x = 18,957.86

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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.