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Finding the Fourth Proportional to 21,854.32, 32,781.52 and 9,366.26

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Solution

The fourth proportional to 21,854.32, 32,781.52 and 9,366.26 is: 14,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.32 : 32,781.52 = 9,366.26 : x
  2. Step 2: Convert to fraction form
    21,854.32/32,781.52 = 9,366.26/x
  3. Step 3: Cross multiply
    21,854.32x = 32,781.52 × 9,366.26
  4. Step 4: Simplify right side
    21,854.32x = 307,040,239.52
  5. Step 5: Solve for x
    x = 307,040,239.52/21,854.32
  6. Step 6: Final answer
    x = 14,049.41

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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.