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Finding the Fourth Proportional to 23,770.31, 32,802.08 and 13,159.71

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Solution

The fourth proportional to 23,770.31, 32,802.08 and 13,159.71 is: 18,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.31 : 32,802.08 = 13,159.71 : x
  2. Step 2: Convert to fraction form
    23,770.31/32,802.08 = 13,159.71/x
  3. Step 3: Cross multiply
    23,770.31x = 32,802.08 × 13,159.71
  4. Step 4: Simplify right side
    23,770.31x = 431,665,794.40
  5. Step 5: Solve for x
    x = 431,665,794.40/23,770.31
  6. Step 6: Final answer
    x = 18,159.88

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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.