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Finding the Fourth Proportional to 17,841.88, 24,642.48 and 11,863.20

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Solution

The fourth proportional to 17,841.88, 24,642.48 and 11,863.20 is: 16,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.88 : 24,642.48 = 11,863.20 : x
  2. Step 2: Convert to fraction form
    17,841.88/24,642.48 = 11,863.20/x
  3. Step 3: Cross multiply
    17,841.88x = 24,642.48 × 11,863.20
  4. Step 4: Simplify right side
    17,841.88x = 292,338,668.74
  5. Step 5: Solve for x
    x = 292,338,668.74/17,841.88
  6. Step 6: Final answer
    x = 16,384.97

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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.