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Finding the Fourth Proportional to 25,757.01, 35,540.24 and 15,148.64

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Solution

The fourth proportional to 25,757.01, 35,540.24 and 15,148.64 is: 20,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.01 : 35,540.24 = 15,148.64 : x
  2. Step 2: Convert to fraction form
    25,757.01/35,540.24 = 15,148.64/x
  3. Step 3: Cross multiply
    25,757.01x = 35,540.24 × 15,148.64
  4. Step 4: Simplify right side
    25,757.01x = 538,386,314.38
  5. Step 5: Solve for x
    x = 538,386,314.38/25,757.01
  6. Step 6: Final answer
    x = 20,902.52

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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.