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Finding the Fourth Proportional to 21,854.38, 32,781.74 and 7,063.29

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Solution

The fourth proportional to 21,854.38, 32,781.74 and 7,063.29 is: 10,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.38 : 32,781.74 = 7,063.29 : x
  2. Step 2: Convert to fraction form
    21,854.38/32,781.74 = 7,063.29/x
  3. Step 3: Cross multiply
    21,854.38x = 32,781.74 × 7,063.29
  4. Step 4: Simplify right side
    21,854.38x = 231,546,936.32
  5. Step 5: Solve for x
    x = 231,546,936.32/21,854.38
  6. Step 6: Final answer
    x = 10,594.99

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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.