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Finding the Fourth Proportional to 25,978.36, 38,964.30 and 10,396.12

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Solution

The fourth proportional to 25,978.36, 38,964.30 and 10,396.12 is: 15,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.36 : 38,964.30 = 10,396.12 : x
  2. Step 2: Convert to fraction form
    25,978.36/38,964.30 = 10,396.12/x
  3. Step 3: Cross multiply
    25,978.36x = 38,964.30 × 10,396.12
  4. Step 4: Simplify right side
    25,978.36x = 405,077,538.52
  5. Step 5: Solve for x
    x = 405,077,538.52/25,978.36
  6. Step 6: Final answer
    x = 15,592.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.