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Finding the Fourth Proportional to 15,171.34, 22,764.22 and 6,853.90

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Solution

The fourth proportional to 15,171.34, 22,764.22 and 6,853.90 is: 10,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.34 : 22,764.22 = 6,853.90 : x
  2. Step 2: Convert to fraction form
    15,171.34/22,764.22 = 6,853.90/x
  3. Step 3: Cross multiply
    15,171.34x = 22,764.22 × 6,853.90
  4. Step 4: Simplify right side
    15,171.34x = 156,023,687.46
  5. Step 5: Solve for x
    x = 156,023,687.46/15,171.34
  6. Step 6: Final answer
    x = 10,284.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.