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Finding the Fourth Proportional to 25,978.22, 38,945.46 and 10,387.34

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Solution

The fourth proportional to 25,978.22, 38,945.46 and 10,387.34 is: 15,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.22 : 38,945.46 = 10,387.34 : x
  2. Step 2: Convert to fraction form
    25,978.22/38,945.46 = 10,387.34/x
  3. Step 3: Cross multiply
    25,978.22x = 38,945.46 × 10,387.34
  4. Step 4: Simplify right side
    25,978.22x = 404,539,734.48
  5. Step 5: Solve for x
    x = 404,539,734.48/25,978.22
  6. Step 6: Final answer
    x = 15,572.27

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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.