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Finding the Fourth Proportional to 16,182.86, 24,252.17 and 12,230.91

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Solution

The fourth proportional to 16,182.86, 24,252.17 and 12,230.91 is: 18,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.86 : 24,252.17 = 12,230.91 : x
  2. Step 2: Convert to fraction form
    16,182.86/24,252.17 = 12,230.91/x
  3. Step 3: Cross multiply
    16,182.86x = 24,252.17 × 12,230.91
  4. Step 4: Simplify right side
    16,182.86x = 296,626,047.42
  5. Step 5: Solve for x
    x = 296,626,047.42/16,182.86
  6. Step 6: Final answer
    x = 18,329.65

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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.