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Finding the Fourth Proportional to 15,200.80, 22,798.32 and 5,337.76

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Solution

The fourth proportional to 15,200.80, 22,798.32 and 5,337.76 is: 8,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.80 : 22,798.32 = 5,337.76 : x
  2. Step 2: Convert to fraction form
    15,200.80/22,798.32 = 5,337.76/x
  3. Step 3: Cross multiply
    15,200.80x = 22,798.32 × 5,337.76
  4. Step 4: Simplify right side
    15,200.80x = 121,691,960.56
  5. Step 5: Solve for x
    x = 121,691,960.56/15,200.80
  6. Step 6: Final answer
    x = 8,005.63

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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.