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Finding the Fourth Proportional to 17,843.69, 24,613.13 and 11,478.58

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Solution

The fourth proportional to 17,843.69, 24,613.13 and 11,478.58 is: 15,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.69 : 24,613.13 = 11,478.58 : x
  2. Step 2: Convert to fraction form
    17,843.69/24,613.13 = 11,478.58/x
  3. Step 3: Cross multiply
    17,843.69x = 24,613.13 × 11,478.58
  4. Step 4: Simplify right side
    17,843.69x = 282,523,748.92
  5. Step 5: Solve for x
    x = 282,523,748.92/17,843.69
  6. Step 6: Final answer
    x = 15,833.26

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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.