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Finding the Fourth Proportional to 13,697.38, 18,902.25 and 7,409.62

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Solution

The fourth proportional to 13,697.38, 18,902.25 and 7,409.62 is: 10,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.38 : 18,902.25 = 7,409.62 : x
  2. Step 2: Convert to fraction form
    13,697.38/18,902.25 = 7,409.62/x
  3. Step 3: Cross multiply
    13,697.38x = 18,902.25 × 7,409.62
  4. Step 4: Simplify right side
    13,697.38x = 140,058,489.65
  5. Step 5: Solve for x
    x = 140,058,489.65/13,697.38
  6. Step 6: Final answer
    x = 10,225.20

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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.