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Finding the Fourth Proportional to 15,102.38, 20,841.87 and 8,388.51

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Solution

The fourth proportional to 15,102.38, 20,841.87 and 8,388.51 is: 11,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.38 : 20,841.87 = 8,388.51 : x
  2. Step 2: Convert to fraction form
    15,102.38/20,841.87 = 8,388.51/x
  3. Step 3: Cross multiply
    15,102.38x = 20,841.87 × 8,388.51
  4. Step 4: Simplify right side
    15,102.38x = 174,832,234.91
  5. Step 5: Solve for x
    x = 174,832,234.91/15,102.38
  6. Step 6: Final answer
    x = 11,576.47

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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.