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Finding the Fourth Proportional to 16,209.52, 24,281.82 and 7,432.36

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Solution

The fourth proportional to 16,209.52, 24,281.82 and 7,432.36 is: 11,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.52 : 24,281.82 = 7,432.36 : x
  2. Step 2: Convert to fraction form
    16,209.52/24,281.82 = 7,432.36/x
  3. Step 3: Cross multiply
    16,209.52x = 24,281.82 × 7,432.36
  4. Step 4: Simplify right side
    16,209.52x = 180,471,227.70
  5. Step 5: Solve for x
    x = 180,471,227.70/16,209.52
  6. Step 6: Final answer
    x = 11,133.66

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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.