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Finding the Fourth Proportional to 25,912.38, 35,759.08 and 14,734.38

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Solution

The fourth proportional to 25,912.38, 35,759.08 and 14,734.38 is: 20,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.38 : 35,759.08 = 14,734.38 : x
  2. Step 2: Convert to fraction form
    25,912.38/35,759.08 = 14,734.38/x
  3. Step 3: Cross multiply
    25,912.38x = 35,759.08 × 14,734.38
  4. Step 4: Simplify right side
    25,912.38x = 526,887,873.17
  5. Step 5: Solve for x
    x = 526,887,873.17/25,912.38
  6. Step 6: Final answer
    x = 20,333.44

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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.