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Finding the Fourth Proportional to 16,167.71, 24,235.83 and 7,732.02

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Solution

The fourth proportional to 16,167.71, 24,235.83 and 7,732.02 is: 11,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.71 : 24,235.83 = 7,732.02 : x
  2. Step 2: Convert to fraction form
    16,167.71/24,235.83 = 7,732.02/x
  3. Step 3: Cross multiply
    16,167.71x = 24,235.83 × 7,732.02
  4. Step 4: Simplify right side
    16,167.71x = 187,391,922.28
  5. Step 5: Solve for x
    x = 187,391,922.28/16,167.71
  6. Step 6: Final answer
    x = 11,590.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.