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Finding the Fourth Proportional to 13,661.24, 18,851.22 and 7,691.96

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Solution

The fourth proportional to 13,661.24, 18,851.22 and 7,691.96 is: 10,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.24 : 18,851.22 = 7,691.96 : x
  2. Step 2: Convert to fraction form
    13,661.24/18,851.22 = 7,691.96/x
  3. Step 3: Cross multiply
    13,661.24x = 18,851.22 × 7,691.96
  4. Step 4: Simplify right side
    13,661.24x = 145,002,830.19
  5. Step 5: Solve for x
    x = 145,002,830.19/13,661.24
  6. Step 6: Final answer
    x = 10,614.18

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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.