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Finding the Fourth Proportional to 16,402.20, 24,603.57 and 5,157.19

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Solution

The fourth proportional to 16,402.20, 24,603.57 and 5,157.19 is: 7,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.20 : 24,603.57 = 5,157.19 : x
  2. Step 2: Convert to fraction form
    16,402.20/24,603.57 = 5,157.19/x
  3. Step 3: Cross multiply
    16,402.20x = 24,603.57 × 5,157.19
  4. Step 4: Simplify right side
    16,402.20x = 126,885,285.17
  5. Step 5: Solve for x
    x = 126,885,285.17/16,402.20
  6. Step 6: Final answer
    x = 7,735.87

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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.