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Finding the Fourth Proportional to 16,281.38, 24,423.02 and 6,286.18

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Solution

The fourth proportional to 16,281.38, 24,423.02 and 6,286.18 is: 9,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.38 : 24,423.02 = 6,286.18 : x
  2. Step 2: Convert to fraction form
    16,281.38/24,423.02 = 6,286.18/x
  3. Step 3: Cross multiply
    16,281.38x = 24,423.02 × 6,286.18
  4. Step 4: Simplify right side
    16,281.38x = 153,527,499.86
  5. Step 5: Solve for x
    x = 153,527,499.86/16,281.38
  6. Step 6: Final answer
    x = 9,429.64

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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.