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Finding the Fourth Proportional to 31,614.62, 43,630.22 and 17,467.47

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Solution

The fourth proportional to 31,614.62, 43,630.22 and 17,467.47 is: 24,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.62 : 43,630.22 = 17,467.47 : x
  2. Step 2: Convert to fraction form
    31,614.62/43,630.22 = 17,467.47/x
  3. Step 3: Cross multiply
    31,614.62x = 43,630.22 × 17,467.47
  4. Step 4: Simplify right side
    31,614.62x = 762,109,602.61
  5. Step 5: Solve for x
    x = 762,109,602.61/31,614.62
  6. Step 6: Final answer
    x = 24,106.24

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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.