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Finding the Fourth Proportional to 17,407.38, 24,022.20 and 9,449.61

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Solution

The fourth proportional to 17,407.38, 24,022.20 and 9,449.61 is: 13,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.38 : 24,022.20 = 9,449.61 : x
  2. Step 2: Convert to fraction form
    17,407.38/24,022.20 = 9,449.61/x
  3. Step 3: Cross multiply
    17,407.38x = 24,022.20 × 9,449.61
  4. Step 4: Simplify right side
    17,407.38x = 227,000,421.34
  5. Step 5: Solve for x
    x = 227,000,421.34/17,407.38
  6. Step 6: Final answer
    x = 13,040.47

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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.