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Finding the Fourth Proportional to 23,691.42, 32,693.67 and 13,080.78

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Solution

The fourth proportional to 23,691.42, 32,693.67 and 13,080.78 is: 18,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.42 : 32,693.67 = 13,080.78 : x
  2. Step 2: Convert to fraction form
    23,691.42/32,693.67 = 13,080.78/x
  3. Step 3: Cross multiply
    23,691.42x = 32,693.67 × 13,080.78
  4. Step 4: Simplify right side
    23,691.42x = 427,658,704.66
  5. Step 5: Solve for x
    x = 427,658,704.66/23,691.42
  6. Step 6: Final answer
    x = 18,051.21

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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.