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Finding the Fourth Proportional to 22,985.47, 34,471.54 and 10,498.87

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Solution

The fourth proportional to 22,985.47, 34,471.54 and 10,498.87 is: 15,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.47 : 34,471.54 = 10,498.87 : x
  2. Step 2: Convert to fraction form
    22,985.47/34,471.54 = 10,498.87/x
  3. Step 3: Cross multiply
    22,985.47x = 34,471.54 × 10,498.87
  4. Step 4: Simplify right side
    22,985.47x = 361,912,217.16
  5. Step 5: Solve for x
    x = 361,912,217.16/22,985.47
  6. Step 6: Final answer
    x = 15,745.26

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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.