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Finding the Fourth Proportional to 23,678.80, 32,672.37 and 15,182.44

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Solution

The fourth proportional to 23,678.80, 32,672.37 and 15,182.44 is: 20,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.80 : 32,672.37 = 15,182.44 : x
  2. Step 2: Convert to fraction form
    23,678.80/32,672.37 = 15,182.44/x
  3. Step 3: Cross multiply
    23,678.80x = 32,672.37 × 15,182.44
  4. Step 4: Simplify right side
    23,678.80x = 496,046,297.18
  5. Step 5: Solve for x
    x = 496,046,297.18/23,678.80
  6. Step 6: Final answer
    x = 20,948.96

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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.