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Finding the Fourth Proportional to 13,737.31, 20,608.29 and 5,412.94

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Solution

The fourth proportional to 13,737.31, 20,608.29 and 5,412.94 is: 8,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.31 : 20,608.29 = 5,412.94 : x
  2. Step 2: Convert to fraction form
    13,737.31/20,608.29 = 5,412.94/x
  3. Step 3: Cross multiply
    13,737.31x = 20,608.29 × 5,412.94
  4. Step 4: Simplify right side
    13,737.31x = 111,551,385.75
  5. Step 5: Solve for x
    x = 111,551,385.75/13,737.31
  6. Step 6: Final answer
    x = 8,120.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.