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Finding the Fourth Proportional to 38,400.69, 57,626.97 and 13,440.95

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Solution

The fourth proportional to 38,400.69, 57,626.97 and 13,440.95 is: 20,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.69 : 57,626.97 = 13,440.95 : x
  2. Step 2: Convert to fraction form
    38,400.69/57,626.97 = 13,440.95/x
  3. Step 3: Cross multiply
    38,400.69x = 57,626.97 × 13,440.95
  4. Step 4: Simplify right side
    38,400.69x = 774,560,934.29
  5. Step 5: Solve for x
    x = 774,560,934.29/38,400.69
  6. Step 6: Final answer
    x = 20,170.50

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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.