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Finding the Fourth Proportional to 11,647.81, 17,382.20 and 10,402.21

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Solution

The fourth proportional to 11,647.81, 17,382.20 and 10,402.21 is: 15,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.81 : 17,382.20 = 10,402.21 : x
  2. Step 2: Convert to fraction form
    11,647.81/17,382.20 = 10,402.21/x
  3. Step 3: Cross multiply
    11,647.81x = 17,382.20 × 10,402.21
  4. Step 4: Simplify right side
    11,647.81x = 180,813,294.66
  5. Step 5: Solve for x
    x = 180,813,294.66/11,647.81
  6. Step 6: Final answer
    x = 15,523.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.