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Finding the Fourth Proportional to 23,686.92, 35,491.50 and 8,096.04

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Solution

The fourth proportional to 23,686.92, 35,491.50 and 8,096.04 is: 12,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.92 : 35,491.50 = 8,096.04 : x
  2. Step 2: Convert to fraction form
    23,686.92/35,491.50 = 8,096.04/x
  3. Step 3: Cross multiply
    23,686.92x = 35,491.50 × 8,096.04
  4. Step 4: Simplify right side
    23,686.92x = 287,340,603.66
  5. Step 5: Solve for x
    x = 287,340,603.66/23,686.92
  6. Step 6: Final answer
    x = 12,130.77

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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.