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Finding the Fourth Proportional to 18,500.68, 25,531.14 and 10,117

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Solution

The fourth proportional to 18,500.68, 25,531.14 and 10,117 is: 13,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500.68 : 25,531.14 = 10,117 : x
  2. Step 2: Convert to fraction form
    18,500.68/25,531.14 = 10,117/x
  3. Step 3: Cross multiply
    18,500.68x = 25,531.14 × 10,117
  4. Step 4: Simplify right side
    18,500.68x = 258,298,543.38
  5. Step 5: Solve for x
    x = 258,298,543.38/18,500.68
  6. Step 6: Final answer
    x = 13,961.57

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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.