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Finding the Fourth Proportional to 25,264.01, 34,865.16 and 13,934

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Solution

The fourth proportional to 25,264.01, 34,865.16 and 13,934 is: 19,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.01 : 34,865.16 = 13,934 : x
  2. Step 2: Convert to fraction form
    25,264.01/34,865.16 = 13,934/x
  3. Step 3: Cross multiply
    25,264.01x = 34,865.16 × 13,934
  4. Step 4: Simplify right side
    25,264.01x = 485,811,139.44
  5. Step 5: Solve for x
    x = 485,811,139.44/25,264.01
  6. Step 6: Final answer
    x = 19,229.38

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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.