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Finding the Fourth Proportional to 24,758, 34,167.84 and 14,147.40

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Solution

The fourth proportional to 24,758, 34,167.84 and 14,147.40 is: 19,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758 : 34,167.84 = 14,147.40 : x
  2. Step 2: Convert to fraction form
    24,758/34,167.84 = 14,147.40/x
  3. Step 3: Cross multiply
    24,758x = 34,167.84 × 14,147.40
  4. Step 4: Simplify right side
    24,758x = 483,386,099.62
  5. Step 5: Solve for x
    x = 483,386,099.62/24,758
  6. Step 6: Final answer
    x = 19,524.44

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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.