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Finding the Fourth Proportional to 15,262.20, 22,906.80 and 9,014.40

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Solution

The fourth proportional to 15,262.20, 22,906.80 and 9,014.40 is: 13,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.20 : 22,906.80 = 9,014.40 : x
  2. Step 2: Convert to fraction form
    15,262.20/22,906.80 = 9,014.40/x
  3. Step 3: Cross multiply
    15,262.20x = 22,906.80 × 9,014.40
  4. Step 4: Simplify right side
    15,262.20x = 206,491,057.92
  5. Step 5: Solve for x
    x = 206,491,057.92/15,262.20
  6. Step 6: Final answer
    x = 13,529.57

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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.