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Finding the Fourth Proportional to 25,642.44, 38,434.50 and 10,842.12

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Solution

The fourth proportional to 25,642.44, 38,434.50 and 10,842.12 is: 16,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.44 : 38,434.50 = 10,842.12 : x
  2. Step 2: Convert to fraction form
    25,642.44/38,434.50 = 10,842.12/x
  3. Step 3: Cross multiply
    25,642.44x = 38,434.50 × 10,842.12
  4. Step 4: Simplify right side
    25,642.44x = 416,711,461.14
  5. Step 5: Solve for x
    x = 416,711,461.14/25,642.44
  6. Step 6: Final answer
    x = 16,250.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.