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Finding the Fourth Proportional to 15,046.38, 20,764.72 and 9,077.92

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Solution

The fourth proportional to 15,046.38, 20,764.72 and 9,077.92 is: 12,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.38 : 20,764.72 = 9,077.92 : x
  2. Step 2: Convert to fraction form
    15,046.38/20,764.72 = 9,077.92/x
  3. Step 3: Cross multiply
    15,046.38x = 20,764.72 × 9,077.92
  4. Step 4: Simplify right side
    15,046.38x = 188,500,466.98
  5. Step 5: Solve for x
    x = 188,500,466.98/15,046.38
  6. Step 6: Final answer
    x = 12,527.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.