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Finding the Fourth Proportional to 15,462.68, 23,147.88 and 15,198.20

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Solution

The fourth proportional to 15,462.68, 23,147.88 and 15,198.20 is: 22,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.68 : 23,147.88 = 15,198.20 : x
  2. Step 2: Convert to fraction form
    15,462.68/23,147.88 = 15,198.20/x
  3. Step 3: Cross multiply
    15,462.68x = 23,147.88 × 15,198.20
  4. Step 4: Simplify right side
    15,462.68x = 351,805,994.08
  5. Step 5: Solve for x
    x = 351,805,994.08/15,462.68
  6. Step 6: Final answer
    x = 22,751.95

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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.