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Finding the Fourth Proportional to 13,242.39, 18,275.07 and 7,578.92

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Solution

The fourth proportional to 13,242.39, 18,275.07 and 7,578.92 is: 10,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.39 : 18,275.07 = 7,578.92 : x
  2. Step 2: Convert to fraction form
    13,242.39/18,275.07 = 7,578.92/x
  3. Step 3: Cross multiply
    13,242.39x = 18,275.07 × 7,578.92
  4. Step 4: Simplify right side
    13,242.39x = 138,505,202.15
  5. Step 5: Solve for x
    x = 138,505,202.15/13,242.39
  6. Step 6: Final answer
    x = 10,459.23

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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.