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Finding the Fourth Proportional to 15,275.22, 22,909.53 and 5,414.82

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Solution

The fourth proportional to 15,275.22, 22,909.53 and 5,414.82 is: 8,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,275.22 : 22,909.53 = 5,414.82 : x
  2. Step 2: Convert to fraction form
    15,275.22/22,909.53 = 5,414.82/x
  3. Step 3: Cross multiply
    15,275.22x = 22,909.53 × 5,414.82
  4. Step 4: Simplify right side
    15,275.22x = 124,050,981.23
  5. Step 5: Solve for x
    x = 124,050,981.23/15,275.22
  6. Step 6: Final answer
    x = 8,121.06

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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.