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Finding the Fourth Proportional to 13,543.38, 20,314.71 and 6,142.44

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Solution

The fourth proportional to 13,543.38, 20,314.71 and 6,142.44 is: 9,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.38 : 20,314.71 = 6,142.44 : x
  2. Step 2: Convert to fraction form
    13,543.38/20,314.71 = 6,142.44/x
  3. Step 3: Cross multiply
    13,543.38x = 20,314.71 × 6,142.44
  4. Step 4: Simplify right side
    13,543.38x = 124,781,887.29
  5. Step 5: Solve for x
    x = 124,781,887.29/13,543.38
  6. Step 6: Final answer
    x = 9,213.50

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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.