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Finding the Fourth Proportional to 16,084.92, 24,136.44 and 12,565.05

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Solution

The fourth proportional to 16,084.92, 24,136.44 and 12,565.05 is: 18,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.92 : 24,136.44 = 12,565.05 : x
  2. Step 2: Convert to fraction form
    16,084.92/24,136.44 = 12,565.05/x
  3. Step 3: Cross multiply
    16,084.92x = 24,136.44 × 12,565.05
  4. Step 4: Simplify right side
    16,084.92x = 303,275,575.42
  5. Step 5: Solve for x
    x = 303,275,575.42/16,084.92
  6. Step 6: Final answer
    x = 18,854.65

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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.