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Finding the Fourth Proportional to 21,387.29, 32,069.39 and 9,694.13

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Solution

The fourth proportional to 21,387.29, 32,069.39 and 9,694.13 is: 14,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.29 : 32,069.39 = 9,694.13 : x
  2. Step 2: Convert to fraction form
    21,387.29/32,069.39 = 9,694.13/x
  3. Step 3: Cross multiply
    21,387.29x = 32,069.39 × 9,694.13
  4. Step 4: Simplify right side
    21,387.29x = 310,884,626.86
  5. Step 5: Solve for x
    x = 310,884,626.86/21,387.29
  6. Step 6: Final answer
    x = 14,535.96

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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.