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Finding the Fourth Proportional to 16,126.40, 24,188 and 5,737.92

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Solution

The fourth proportional to 16,126.40, 24,188 and 5,737.92 is: 8,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.40 : 24,188 = 5,737.92 : x
  2. Step 2: Convert to fraction form
    16,126.40/24,188 = 5,737.92/x
  3. Step 3: Cross multiply
    16,126.40x = 24,188 × 5,737.92
  4. Step 4: Simplify right side
    16,126.40x = 138,788,808.96
  5. Step 5: Solve for x
    x = 138,788,808.96/16,126.40
  6. Step 6: Final answer
    x = 8,606.31

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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.