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Finding the Fourth Proportional to 13,142.52, 18,138.20 and 7,322.22

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Solution

The fourth proportional to 13,142.52, 18,138.20 and 7,322.22 is: 10,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.52 : 18,138.20 = 7,322.22 : x
  2. Step 2: Convert to fraction form
    13,142.52/18,138.20 = 7,322.22/x
  3. Step 3: Cross multiply
    13,142.52x = 18,138.20 × 7,322.22
  4. Step 4: Simplify right side
    13,142.52x = 132,811,854.19
  5. Step 5: Solve for x
    x = 132,811,854.19/13,142.52
  6. Step 6: Final answer
    x = 10,105.51

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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.