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Finding the Fourth Proportional to 19,532.52, 29,294.14 and 8,433.14

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Solution

The fourth proportional to 19,532.52, 29,294.14 and 8,433.14 is: 12,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.52 : 29,294.14 = 8,433.14 : x
  2. Step 2: Convert to fraction form
    19,532.52/29,294.14 = 8,433.14/x
  3. Step 3: Cross multiply
    19,532.52x = 29,294.14 × 8,433.14
  4. Step 4: Simplify right side
    19,532.52x = 247,041,583.80
  5. Step 5: Solve for x
    x = 247,041,583.80/19,532.52
  6. Step 6: Final answer
    x = 12,647.71

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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.