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Finding the Fourth Proportional to 14,515.38, 20,034.51 and 9,984.09

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Solution

The fourth proportional to 14,515.38, 20,034.51 and 9,984.09 is: 13,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.38 : 20,034.51 = 9,984.09 : x
  2. Step 2: Convert to fraction form
    14,515.38/20,034.51 = 9,984.09/x
  3. Step 3: Cross multiply
    14,515.38x = 20,034.51 × 9,984.09
  4. Step 4: Simplify right side
    14,515.38x = 200,026,350.95
  5. Step 5: Solve for x
    x = 200,026,350.95/14,515.38
  6. Step 6: Final answer
    x = 13,780.30

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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.