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Finding the Fourth Proportional to 17,316.38, 23,896.62 and 9,358.61

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Solution

The fourth proportional to 17,316.38, 23,896.62 and 9,358.61 is: 12,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,316.38 : 23,896.62 = 9,358.61 : x
  2. Step 2: Convert to fraction form
    17,316.38/23,896.62 = 9,358.61/x
  3. Step 3: Cross multiply
    17,316.38x = 23,896.62 × 9,358.61
  4. Step 4: Simplify right side
    17,316.38x = 223,639,027.42
  5. Step 5: Solve for x
    x = 223,639,027.42/17,316.38
  6. Step 6: Final answer
    x = 12,914.88

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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.