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Finding the Fourth Proportional to 22,097.80, 30,488.10 and 13,591

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Solution

The fourth proportional to 22,097.80, 30,488.10 and 13,591 is: 18,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.80 : 30,488.10 = 13,591 : x
  2. Step 2: Convert to fraction form
    22,097.80/30,488.10 = 13,591/x
  3. Step 3: Cross multiply
    22,097.80x = 30,488.10 × 13,591
  4. Step 4: Simplify right side
    22,097.80x = 414,363,767.10
  5. Step 5: Solve for x
    x = 414,363,767.10/22,097.80
  6. Step 6: Final answer
    x = 18,751.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.