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Finding the Fourth Proportional to 23,760.36, 35,640.12 and 8,177.64

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Solution

The fourth proportional to 23,760.36, 35,640.12 and 8,177.64 is: 12,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.36 : 35,640.12 = 8,177.64 : x
  2. Step 2: Convert to fraction form
    23,760.36/35,640.12 = 8,177.64/x
  3. Step 3: Cross multiply
    23,760.36x = 35,640.12 × 8,177.64
  4. Step 4: Simplify right side
    23,760.36x = 291,452,070.92
  5. Step 5: Solve for x
    x = 291,452,070.92/23,760.36
  6. Step 6: Final answer
    x = 12,266.32

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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.