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Finding the Fourth Proportional to 23,664.40, 35,500.85 and 8,078.38

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Solution

The fourth proportional to 23,664.40, 35,500.85 and 8,078.38 is: 12,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664.40 : 35,500.85 = 8,078.38 : x
  2. Step 2: Convert to fraction form
    23,664.40/35,500.85 = 8,078.38/x
  3. Step 3: Cross multiply
    23,664.40x = 35,500.85 × 8,078.38
  4. Step 4: Simplify right side
    23,664.40x = 286,789,356.62
  5. Step 5: Solve for x
    x = 286,789,356.62/23,664.40
  6. Step 6: Final answer
    x = 12,119.02

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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.