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Finding the Fourth Proportional to 15,863.26, 23,793.96 and 4,769.70

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Solution

The fourth proportional to 15,863.26, 23,793.96 and 4,769.70 is: 7,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.26 : 23,793.96 = 4,769.70 : x
  2. Step 2: Convert to fraction form
    15,863.26/23,793.96 = 4,769.70/x
  3. Step 3: Cross multiply
    15,863.26x = 23,793.96 × 4,769.70
  4. Step 4: Simplify right side
    15,863.26x = 113,490,051.01
  5. Step 5: Solve for x
    x = 113,490,051.01/15,863.26
  6. Step 6: Final answer
    x = 7,154.27

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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.