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Finding the Fourth Proportional to 22,686.98, 34,034.10 and 9,543.11

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Solution

The fourth proportional to 22,686.98, 34,034.10 and 9,543.11 is: 14,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.98 : 34,034.10 = 9,543.11 : x
  2. Step 2: Convert to fraction form
    22,686.98/34,034.10 = 9,543.11/x
  3. Step 3: Cross multiply
    22,686.98x = 34,034.10 × 9,543.11
  4. Step 4: Simplify right side
    22,686.98x = 324,790,989.88
  5. Step 5: Solve for x
    x = 324,790,989.88/22,686.98
  6. Step 6: Final answer
    x = 14,316.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.