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Finding the Fourth Proportional to 15,204.38, 22,809.78 and 5,716.76

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Solution

The fourth proportional to 15,204.38, 22,809.78 and 5,716.76 is: 8,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.38 : 22,809.78 = 5,716.76 : x
  2. Step 2: Convert to fraction form
    15,204.38/22,809.78 = 5,716.76/x
  3. Step 3: Cross multiply
    15,204.38x = 22,809.78 × 5,716.76
  4. Step 4: Simplify right side
    15,204.38x = 130,398,059.28
  5. Step 5: Solve for x
    x = 130,398,059.28/15,204.38
  6. Step 6: Final answer
    x = 8,576.35

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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.