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Finding the Fourth Proportional to 23,296.68, 34,945.01 and 5,766.50

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Solution

The fourth proportional to 23,296.68, 34,945.01 and 5,766.50 is: 8,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.68 : 34,945.01 = 5,766.50 : x
  2. Step 2: Convert to fraction form
    23,296.68/34,945.01 = 5,766.50/x
  3. Step 3: Cross multiply
    23,296.68x = 34,945.01 × 5,766.50
  4. Step 4: Simplify right side
    23,296.68x = 201,510,557.84
  5. Step 5: Solve for x
    x = 201,510,557.84/23,296.68
  6. Step 6: Final answer
    x = 8,649.76

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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.