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Finding the Fourth Proportional to 21,531.68, 32,290.34 and 9,049.38

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Solution

The fourth proportional to 21,531.68, 32,290.34 and 9,049.38 is: 13,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.68 : 32,290.34 = 9,049.38 : x
  2. Step 2: Convert to fraction form
    21,531.68/32,290.34 = 9,049.38/x
  3. Step 3: Cross multiply
    21,531.68x = 32,290.34 × 9,049.38
  4. Step 4: Simplify right side
    21,531.68x = 292,207,511.74
  5. Step 5: Solve for x
    x = 292,207,511.74/21,531.68
  6. Step 6: Final answer
    x = 13,571.05

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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.