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Finding the Fourth Proportional to 25,725.20, 38,512.20 and 19,180.40

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Solution

The fourth proportional to 25,725.20, 38,512.20 and 19,180.40 is: 28,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.20 : 38,512.20 = 19,180.40 : x
  2. Step 2: Convert to fraction form
    25,725.20/38,512.20 = 19,180.40/x
  3. Step 3: Cross multiply
    25,725.20x = 38,512.20 × 19,180.40
  4. Step 4: Simplify right side
    25,725.20x = 738,679,400.88
  5. Step 5: Solve for x
    x = 738,679,400.88/25,725.20
  6. Step 6: Final answer
    x = 28,714.23

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