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Finding the Fourth Proportional to 17,882.88, 24,675.84 and 10,429.44

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Solution

The fourth proportional to 17,882.88, 24,675.84 and 10,429.44 is: 14,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.88 : 24,675.84 = 10,429.44 : x
  2. Step 2: Convert to fraction form
    17,882.88/24,675.84 = 10,429.44/x
  3. Step 3: Cross multiply
    17,882.88x = 24,675.84 × 10,429.44
  4. Step 4: Simplify right side
    17,882.88x = 257,355,192.73
  5. Step 5: Solve for x
    x = 257,355,192.73/17,882.88
  6. Step 6: Final answer
    x = 14,391.15

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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.