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Finding the Fourth Proportional to 13,132.17, 18,119.16 and 8,026.38

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Solution

The fourth proportional to 13,132.17, 18,119.16 and 8,026.38 is: 11,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.17 : 18,119.16 = 8,026.38 : x
  2. Step 2: Convert to fraction form
    13,132.17/18,119.16 = 8,026.38/x
  3. Step 3: Cross multiply
    13,132.17x = 18,119.16 × 8,026.38
  4. Step 4: Simplify right side
    13,132.17x = 145,431,263.44
  5. Step 5: Solve for x
    x = 145,431,263.44/13,132.17
  6. Step 6: Final answer
    x = 11,074.43

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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.