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Finding the Fourth Proportional to 23,711.67, 35,572.95 and 8,129.25

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Solution

The fourth proportional to 23,711.67, 35,572.95 and 8,129.25 is: 12,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.67 : 35,572.95 = 8,129.25 : x
  2. Step 2: Convert to fraction form
    23,711.67/35,572.95 = 8,129.25/x
  3. Step 3: Cross multiply
    23,711.67x = 35,572.95 × 8,129.25
  4. Step 4: Simplify right side
    23,711.67x = 289,181,403.79
  5. Step 5: Solve for x
    x = 289,181,403.79/23,711.67
  6. Step 6: Final answer
    x = 12,195.74

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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.