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Finding the Fourth Proportional to 24,758.29, 34,165.80 and 14,147.92

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Solution

The fourth proportional to 24,758.29, 34,165.80 and 14,147.92 is: 19,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.29 : 34,165.80 = 14,147.92 : x
  2. Step 2: Convert to fraction form
    24,758.29/34,165.80 = 14,147.92/x
  3. Step 3: Cross multiply
    24,758.29x = 34,165.80 × 14,147.92
  4. Step 4: Simplify right side
    24,758.29x = 483,375,005.14
  5. Step 5: Solve for x
    x = 483,375,005.14/24,758.29
  6. Step 6: Final answer
    x = 19,523.76

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1.5x scale

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.