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Finding the Fourth Proportional to 23,688.80, 35,494.31 and 8,097.92

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Solution

The fourth proportional to 23,688.80, 35,494.31 and 8,097.92 is: 12,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.80 : 35,494.31 = 8,097.92 : x
  2. Step 2: Convert to fraction form
    23,688.80/35,494.31 = 8,097.92/x
  3. Step 3: Cross multiply
    23,688.80x = 35,494.31 × 8,097.92
  4. Step 4: Simplify right side
    23,688.80x = 287,430,082.84
  5. Step 5: Solve for x
    x = 287,430,082.84/23,688.80
  6. Step 6: Final answer
    x = 12,133.59

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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.