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Finding the Fourth Proportional to 13,370.38, 18,451.12 and 7,781.38

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Solution

The fourth proportional to 13,370.38, 18,451.12 and 7,781.38 is: 10,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.38 : 18,451.12 = 7,781.38 : x
  2. Step 2: Convert to fraction form
    13,370.38/18,451.12 = 7,781.38/x
  3. Step 3: Cross multiply
    13,370.38x = 18,451.12 × 7,781.38
  4. Step 4: Simplify right side
    13,370.38x = 143,575,176.15
  5. Step 5: Solve for x
    x = 143,575,176.15/13,370.38
  6. Step 6: Final answer
    x = 10,738.30

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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.