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Finding the Fourth Proportional to 16,392.57, 24,613.40 and 9,380.49

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Solution

The fourth proportional to 16,392.57, 24,613.40 and 9,380.49 is: 14,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392.57 : 24,613.40 = 9,380.49 : x
  2. Step 2: Convert to fraction form
    16,392.57/24,613.40 = 9,380.49/x
  3. Step 3: Cross multiply
    16,392.57x = 24,613.40 × 9,380.49
  4. Step 4: Simplify right side
    16,392.57x = 230,885,705.66
  5. Step 5: Solve for x
    x = 230,885,705.66/16,392.57
  6. Step 6: Final answer
    x = 14,084.78

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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.