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Finding the Fourth Proportional to 13,610.27, 18,781.69 and 7,642.19

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Solution

The fourth proportional to 13,610.27, 18,781.69 and 7,642.19 is: 10,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.27 : 18,781.69 = 7,642.19 : x
  2. Step 2: Convert to fraction form
    13,610.27/18,781.69 = 7,642.19/x
  3. Step 3: Cross multiply
    13,610.27x = 18,781.69 × 7,642.19
  4. Step 4: Simplify right side
    13,610.27x = 143,533,243.50
  5. Step 5: Solve for x
    x = 143,533,243.50/13,610.27
  6. Step 6: Final answer
    x = 10,545.95

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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.