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Finding the Fourth Proportional to 13,677.39, 18,874.71 and 8,013.24

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Solution

The fourth proportional to 13,677.39, 18,874.71 and 8,013.24 is: 11,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.39 : 18,874.71 = 8,013.24 : x
  2. Step 2: Convert to fraction form
    13,677.39/18,874.71 = 8,013.24/x
  3. Step 3: Cross multiply
    13,677.39x = 18,874.71 × 8,013.24
  4. Step 4: Simplify right side
    13,677.39x = 151,247,581.16
  5. Step 5: Solve for x
    x = 151,247,581.16/13,677.39
  6. Step 6: Final answer
    x = 11,058.22

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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.