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Finding the Fourth Proportional to 11,834.88, 16,339.92 and 9,141.20

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Solution

The fourth proportional to 11,834.88, 16,339.92 and 9,141.20 is: 12,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.88 : 16,339.92 = 9,141.20 : x
  2. Step 2: Convert to fraction form
    11,834.88/16,339.92 = 9,141.20/x
  3. Step 3: Cross multiply
    11,834.88x = 16,339.92 × 9,141.20
  4. Step 4: Simplify right side
    11,834.88x = 149,366,476.70
  5. Step 5: Solve for x
    x = 149,366,476.70/11,834.88
  6. Step 6: Final answer
    x = 12,620.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.