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Finding the Fourth Proportional to 13,319.68, 18,381.78 and 7,352.20

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Solution

The fourth proportional to 13,319.68, 18,381.78 and 7,352.20 is: 10,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.68 : 18,381.78 = 7,352.20 : x
  2. Step 2: Convert to fraction form
    13,319.68/18,381.78 = 7,352.20/x
  3. Step 3: Cross multiply
    13,319.68x = 18,381.78 × 7,352.20
  4. Step 4: Simplify right side
    13,319.68x = 135,146,522.92
  5. Step 5: Solve for x
    x = 135,146,522.92/13,319.68
  6. Step 6: Final answer
    x = 10,146.38

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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.