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Finding the Fourth Proportional to 25,013.68, 34,512.40 and 14,938

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Solution

The fourth proportional to 25,013.68, 34,512.40 and 14,938 is: 20,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013.68 : 34,512.40 = 14,938 : x
  2. Step 2: Convert to fraction form
    25,013.68/34,512.40 = 14,938/x
  3. Step 3: Cross multiply
    25,013.68x = 34,512.40 × 14,938
  4. Step 4: Simplify right side
    25,013.68x = 515,546,231.20
  5. Step 5: Solve for x
    x = 515,546,231.20/25,013.68
  6. Step 6: Final answer
    x = 20,610.57

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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.