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Finding the Fourth Proportional to 13,683.13, 18,882.86 and 8,967.38

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Solution

The fourth proportional to 13,683.13, 18,882.86 and 8,967.38 is: 12,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.13 : 18,882.86 = 8,967.38 : x
  2. Step 2: Convert to fraction form
    13,683.13/18,882.86 = 8,967.38/x
  3. Step 3: Cross multiply
    13,683.13x = 18,882.86 × 8,967.38
  4. Step 4: Simplify right side
    13,683.13x = 169,329,641.86
  5. Step 5: Solve for x
    x = 169,329,641.86/13,683.13
  6. Step 6: Final answer
    x = 12,375.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.