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Finding the Fourth Proportional to 13,144.52, 18,139.66 and 7,842.44

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Solution

The fourth proportional to 13,144.52, 18,139.66 and 7,842.44 is: 10,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.52 : 18,139.66 = 7,842.44 : x
  2. Step 2: Convert to fraction form
    13,144.52/18,139.66 = 7,842.44/x
  3. Step 3: Cross multiply
    13,144.52x = 18,139.66 × 7,842.44
  4. Step 4: Simplify right side
    13,144.52x = 142,259,195.17
  5. Step 5: Solve for x
    x = 142,259,195.17/13,144.52
  6. Step 6: Final answer
    x = 10,822.70

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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.