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Finding the Fourth Proportional to 13,147.68, 18,144.18 and 7,842.36

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Solution

The fourth proportional to 13,147.68, 18,144.18 and 7,842.36 is: 10,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.68 : 18,144.18 = 7,842.36 : x
  2. Step 2: Convert to fraction form
    13,147.68/18,144.18 = 7,842.36/x
  3. Step 3: Cross multiply
    13,147.68x = 18,144.18 × 7,842.36
  4. Step 4: Simplify right side
    13,147.68x = 142,293,191.46
  5. Step 5: Solve for x
    x = 142,293,191.46/13,147.68
  6. Step 6: Final answer
    x = 10,822.68

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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.