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Finding the Fourth Proportional to 17,407.52, 24,022.38 and 9,449.75

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Solution

The fourth proportional to 17,407.52, 24,022.38 and 9,449.75 is: 13,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.52 : 24,022.38 = 9,449.75 : x
  2. Step 2: Convert to fraction form
    17,407.52/24,022.38 = 9,449.75/x
  3. Step 3: Cross multiply
    17,407.52x = 24,022.38 × 9,449.75
  4. Step 4: Simplify right side
    17,407.52x = 227,005,365.29
  5. Step 5: Solve for x
    x = 227,005,365.29/17,407.52
  6. Step 6: Final answer
    x = 13,040.65

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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.