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Finding the Fourth Proportional to 23,191.50, 34,793.01 and 6,775.50

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Solution

The fourth proportional to 23,191.50, 34,793.01 and 6,775.50 is: 10,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.50 : 34,793.01 = 6,775.50 : x
  2. Step 2: Convert to fraction form
    23,191.50/34,793.01 = 6,775.50/x
  3. Step 3: Cross multiply
    23,191.50x = 34,793.01 × 6,775.50
  4. Step 4: Simplify right side
    23,191.50x = 235,740,039.26
  5. Step 5: Solve for x
    x = 235,740,039.26/23,191.50
  6. Step 6: Final answer
    x = 10,164.93

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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.