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Finding the Fourth Proportional to 25,854.40, 38,858.40 and 22,475.20

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Solution

The fourth proportional to 25,854.40, 38,858.40 and 22,475.20 is: 33,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.40 : 38,858.40 = 22,475.20 : x
  2. Step 2: Convert to fraction form
    25,854.40/38,858.40 = 22,475.20/x
  3. Step 3: Cross multiply
    25,854.40x = 38,858.40 × 22,475.20
  4. Step 4: Simplify right side
    25,854.40x = 873,350,311.68
  5. Step 5: Solve for x
    x = 873,350,311.68/25,854.40
  6. Step 6: Final answer
    x = 33,779.56

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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.