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Finding the Fourth Proportional to 21,382.26, 32,065.14 and 8,908.16

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Solution

The fourth proportional to 21,382.26, 32,065.14 and 8,908.16 is: 13,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.26 : 32,065.14 = 8,908.16 : x
  2. Step 2: Convert to fraction form
    21,382.26/32,065.14 = 8,908.16/x
  3. Step 3: Cross multiply
    21,382.26x = 32,065.14 × 8,908.16
  4. Step 4: Simplify right side
    21,382.26x = 285,641,397.54
  5. Step 5: Solve for x
    x = 285,641,397.54/21,382.26
  6. Step 6: Final answer
    x = 13,358.80

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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.