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Finding the Fourth Proportional to 16,002.70, 24,004.05 and 5,613.10

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Solution

The fourth proportional to 16,002.70, 24,004.05 and 5,613.10 is: 8,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.70 : 24,004.05 = 5,613.10 : x
  2. Step 2: Convert to fraction form
    16,002.70/24,004.05 = 5,613.10/x
  3. Step 3: Cross multiply
    16,002.70x = 24,004.05 × 5,613.10
  4. Step 4: Simplify right side
    16,002.70x = 134,737,133.06
  5. Step 5: Solve for x
    x = 134,737,133.06/16,002.70
  6. Step 6: Final answer
    x = 8,419.65

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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.