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Finding the Fourth Proportional to 24,978.25, 34,471.52 and 14,367.65

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Solution

The fourth proportional to 24,978.25, 34,471.52 and 14,367.65 is: 19,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.25 : 34,471.52 = 14,367.65 : x
  2. Step 2: Convert to fraction form
    24,978.25/34,471.52 = 14,367.65/x
  3. Step 3: Cross multiply
    24,978.25x = 34,471.52 × 14,367.65
  4. Step 4: Simplify right side
    24,978.25x = 495,274,734.33
  5. Step 5: Solve for x
    x = 495,274,734.33/24,978.25
  6. Step 6: Final answer
    x = 19,828.24

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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.