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Finding the Fourth Proportional to 23,206.86, 34,793.25 and 7,402.80

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Solution

The fourth proportional to 23,206.86, 34,793.25 and 7,402.80 is: 11,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.86 : 34,793.25 = 7,402.80 : x
  2. Step 2: Convert to fraction form
    23,206.86/34,793.25 = 7,402.80/x
  3. Step 3: Cross multiply
    23,206.86x = 34,793.25 × 7,402.80
  4. Step 4: Simplify right side
    23,206.86x = 257,567,471.10
  5. Step 5: Solve for x
    x = 257,567,471.10/23,206.86
  6. Step 6: Final answer
    x = 11,098.76

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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.