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Finding the Fourth Proportional to 16,174.31, 24,261.47 and 4,487.53

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Solution

The fourth proportional to 16,174.31, 24,261.47 and 4,487.53 is: 6,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.31 : 24,261.47 = 4,487.53 : x
  2. Step 2: Convert to fraction form
    16,174.31/24,261.47 = 4,487.53/x
  3. Step 3: Cross multiply
    16,174.31x = 24,261.47 × 4,487.53
  4. Step 4: Simplify right side
    16,174.31x = 108,874,074.47
  5. Step 5: Solve for x
    x = 108,874,074.47/16,174.31
  6. Step 6: Final answer
    x = 6,731.30

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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.