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Finding the Fourth Proportional to 13,319.75, 18,381.22 and 7,351.38

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Solution

The fourth proportional to 13,319.75, 18,381.22 and 7,351.38 is: 10,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.75 : 18,381.22 = 7,351.38 : x
  2. Step 2: Convert to fraction form
    13,319.75/18,381.22 = 7,351.38/x
  3. Step 3: Cross multiply
    13,319.75x = 18,381.22 × 7,351.38
  4. Step 4: Simplify right side
    13,319.75x = 135,127,314.71
  5. Step 5: Solve for x
    x = 135,127,314.71/13,319.75
  6. Step 6: Final answer
    x = 10,144.88

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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.