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Finding the Fourth Proportional to 17,873.38, 24,668.22 and 9,918.17

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Solution

The fourth proportional to 17,873.38, 24,668.22 and 9,918.17 is: 13,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873.38 : 24,668.22 = 9,918.17 : x
  2. Step 2: Convert to fraction form
    17,873.38/24,668.22 = 9,918.17/x
  3. Step 3: Cross multiply
    17,873.38x = 24,668.22 × 9,918.17
  4. Step 4: Simplify right side
    17,873.38x = 244,663,451.42
  5. Step 5: Solve for x
    x = 244,663,451.42/17,873.38
  6. Step 6: Final answer
    x = 13,688.71

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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.