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Finding the Fourth Proportional to 16,064.83, 24,098.19 and 6,204.16

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Solution

The fourth proportional to 16,064.83, 24,098.19 and 6,204.16 is: 9,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.83 : 24,098.19 = 6,204.16 : x
  2. Step 2: Convert to fraction form
    16,064.83/24,098.19 = 6,204.16/x
  3. Step 3: Cross multiply
    16,064.83x = 24,098.19 × 6,204.16
  4. Step 4: Simplify right side
    16,064.83x = 149,508,874.96
  5. Step 5: Solve for x
    x = 149,508,874.96/16,064.83
  6. Step 6: Final answer
    x = 9,306.60

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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.