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Finding the Fourth Proportional to 15,227.86, 22,853.33 and 6,468.92

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Solution

The fourth proportional to 15,227.86, 22,853.33 and 6,468.92 is: 9,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.86 : 22,853.33 = 6,468.92 : x
  2. Step 2: Convert to fraction form
    15,227.86/22,853.33 = 6,468.92/x
  3. Step 3: Cross multiply
    15,227.86x = 22,853.33 × 6,468.92
  4. Step 4: Simplify right side
    15,227.86x = 147,836,363.50
  5. Step 5: Solve for x
    x = 147,836,363.50/15,227.86
  6. Step 6: Final answer
    x = 9,708.28

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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.