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Finding the Fourth Proportional to 15,862.78, 23,793.24 and 4,769.20

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Solution

The fourth proportional to 15,862.78, 23,793.24 and 4,769.20 is: 7,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.78 : 23,793.24 = 4,769.20 : x
  2. Step 2: Convert to fraction form
    15,862.78/23,793.24 = 4,769.20/x
  3. Step 3: Cross multiply
    15,862.78x = 23,793.24 × 4,769.20
  4. Step 4: Simplify right side
    15,862.78x = 113,474,720.21
  5. Step 5: Solve for x
    x = 113,474,720.21/15,862.78
  6. Step 6: Final answer
    x = 7,153.52

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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.