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Finding the Fourth Proportional to 25,350, 34,983 and 15,414

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Solution

The fourth proportional to 25,350, 34,983 and 15,414 is: 21,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,350 : 34,983 = 15,414 : x
  2. Step 2: Convert to fraction form
    25,350/34,983 = 15,414/x
  3. Step 3: Cross multiply
    25,350x = 34,983 × 15,414
  4. Step 4: Simplify right side
    25,350x = 539,227,962
  5. Step 5: Solve for x
    x = 539,227,962/25,350
  6. Step 6: Final answer
    x = 21,271.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.