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Finding the Fourth Proportional to 25,348.29, 34,978.14 and 14,738.64

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Solution

The fourth proportional to 25,348.29, 34,978.14 and 14,738.64 is: 20,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348.29 : 34,978.14 = 14,738.64 : x
  2. Step 2: Convert to fraction form
    25,348.29/34,978.14 = 14,738.64/x
  3. Step 3: Cross multiply
    25,348.29x = 34,978.14 × 14,738.64
  4. Step 4: Simplify right side
    25,348.29x = 515,530,213.33
  5. Step 5: Solve for x
    x = 515,530,213.33/25,348.29
  6. Step 6: Final answer
    x = 20,337.87

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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.