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Finding the Fourth Proportional to 25,046.70, 34,564.42 and 13,868.70

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Solution

The fourth proportional to 25,046.70, 34,564.42 and 13,868.70 is: 19,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046.70 : 34,564.42 = 13,868.70 : x
  2. Step 2: Convert to fraction form
    25,046.70/34,564.42 = 13,868.70/x
  3. Step 3: Cross multiply
    25,046.70x = 34,564.42 × 13,868.70
  4. Step 4: Simplify right side
    25,046.70x = 479,363,571.65
  5. Step 5: Solve for x
    x = 479,363,571.65/25,046.70
  6. Step 6: Final answer
    x = 19,138.79

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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.