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Finding the Fourth Proportional to 13,761.24, 18,984.42 and 8,169

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Solution

The fourth proportional to 13,761.24, 18,984.42 and 8,169 is: 11,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.24 : 18,984.42 = 8,169 : x
  2. Step 2: Convert to fraction form
    13,761.24/18,984.42 = 8,169/x
  3. Step 3: Cross multiply
    13,761.24x = 18,984.42 × 8,169
  4. Step 4: Simplify right side
    13,761.24x = 155,083,726.98
  5. Step 5: Solve for x
    x = 155,083,726.98/13,761.24
  6. Step 6: Final answer
    x = 11,269.60

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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.