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Finding the Fourth Proportional to 15,205.80, 22,820.28 and 12,251.46

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Solution

The fourth proportional to 15,205.80, 22,820.28 and 12,251.46 is: 18,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.80 : 22,820.28 = 12,251.46 : x
  2. Step 2: Convert to fraction form
    15,205.80/22,820.28 = 12,251.46/x
  3. Step 3: Cross multiply
    15,205.80x = 22,820.28 × 12,251.46
  4. Step 4: Simplify right side
    15,205.80x = 279,581,747.61
  5. Step 5: Solve for x
    x = 279,581,747.61/15,205.80
  6. Step 6: Final answer
    x = 18,386.52

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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.