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Finding the Fourth Proportional to 31,532.64, 43,514.88 and 17,193.24

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Solution

The fourth proportional to 31,532.64, 43,514.88 and 17,193.24 is: 23,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.64 : 43,514.88 = 17,193.24 : x
  2. Step 2: Convert to fraction form
    31,532.64/43,514.88 = 17,193.24/x
  3. Step 3: Cross multiply
    31,532.64x = 43,514.88 × 17,193.24
  4. Step 4: Simplify right side
    31,532.64x = 748,161,775.41
  5. Step 5: Solve for x
    x = 748,161,775.41/31,532.64
  6. Step 6: Final answer
    x = 23,726.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.