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Finding the Fourth Proportional to 23,791.28, 32,830.55 and 13,180.15

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Solution

The fourth proportional to 23,791.28, 32,830.55 and 13,180.15 is: 18,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.28 : 32,830.55 = 13,180.15 : x
  2. Step 2: Convert to fraction form
    23,791.28/32,830.55 = 13,180.15/x
  3. Step 3: Cross multiply
    23,791.28x = 32,830.55 × 13,180.15
  4. Step 4: Simplify right side
    23,791.28x = 432,711,573.58
  5. Step 5: Solve for x
    x = 432,711,573.58/23,791.28
  6. Step 6: Final answer
    x = 18,187.82

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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.