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Finding the Fourth Proportional to 17,882.77, 24,677.85 and 9,924.52

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Solution

The fourth proportional to 17,882.77, 24,677.85 and 9,924.52 is: 13,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.77 : 24,677.85 = 9,924.52 : x
  2. Step 2: Convert to fraction form
    17,882.77/24,677.85 = 9,924.52/x
  3. Step 3: Cross multiply
    17,882.77x = 24,677.85 × 9,924.52
  4. Step 4: Simplify right side
    17,882.77x = 244,915,815.88
  5. Step 5: Solve for x
    x = 244,915,815.88/17,882.77
  6. Step 6: Final answer
    x = 13,695.63

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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.