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Finding the Fourth Proportional to 25,422.78, 38,134.54 and 7,891.50

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Solution

The fourth proportional to 25,422.78, 38,134.54 and 7,891.50 is: 11,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422.78 : 38,134.54 = 7,891.50 : x
  2. Step 2: Convert to fraction form
    25,422.78/38,134.54 = 7,891.50/x
  3. Step 3: Cross multiply
    25,422.78x = 38,134.54 × 7,891.50
  4. Step 4: Simplify right side
    25,422.78x = 300,938,722.41
  5. Step 5: Solve for x
    x = 300,938,722.41/25,422.78
  6. Step 6: Final answer
    x = 11,837.36

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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.