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Finding the Fourth Proportional to 25,002, 34,503.51 and 13,671.24

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Solution

The fourth proportional to 25,002, 34,503.51 and 13,671.24 is: 18,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002 : 34,503.51 = 13,671.24 : x
  2. Step 2: Convert to fraction form
    25,002/34,503.51 = 13,671.24/x
  3. Step 3: Cross multiply
    25,002x = 34,503.51 × 13,671.24
  4. Step 4: Simplify right side
    25,002x = 471,705,766.05
  5. Step 5: Solve for x
    x = 471,705,766.05/25,002
  6. Step 6: Final answer
    x = 18,866.72

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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.