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Finding the Fourth Proportional to 18,349.20, 25,321.68 and 9,965.70

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Solution

The fourth proportional to 18,349.20, 25,321.68 and 9,965.70 is: 13,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349.20 : 25,321.68 = 9,965.70 : x
  2. Step 2: Convert to fraction form
    18,349.20/25,321.68 = 9,965.70/x
  3. Step 3: Cross multiply
    18,349.20x = 25,321.68 × 9,965.70
  4. Step 4: Simplify right side
    18,349.20x = 252,348,266.38
  5. Step 5: Solve for x
    x = 252,348,266.38/18,349.20
  6. Step 6: Final answer
    x = 13,752.55

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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.