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Finding the Fourth Proportional to 21,542.57, 32,294.66 and 8,391.91

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Solution

The fourth proportional to 21,542.57, 32,294.66 and 8,391.91 is: 12,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.57 : 32,294.66 = 8,391.91 : x
  2. Step 2: Convert to fraction form
    21,542.57/32,294.66 = 8,391.91/x
  3. Step 3: Cross multiply
    21,542.57x = 32,294.66 × 8,391.91
  4. Step 4: Simplify right side
    21,542.57x = 271,013,880.20
  5. Step 5: Solve for x
    x = 271,013,880.20/21,542.57
  6. Step 6: Final answer
    x = 12,580.39

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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.