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Finding the Fourth Proportional to 22,826.64, 34,233.42 and 8,785.68

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Solution

The fourth proportional to 22,826.64, 34,233.42 and 8,785.68 is: 13,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.64 : 34,233.42 = 8,785.68 : x
  2. Step 2: Convert to fraction form
    22,826.64/34,233.42 = 8,785.68/x
  3. Step 3: Cross multiply
    22,826.64x = 34,233.42 × 8,785.68
  4. Step 4: Simplify right side
    22,826.64x = 300,763,873.43
  5. Step 5: Solve for x
    x = 300,763,873.43/22,826.64
  6. Step 6: Final answer
    x = 13,176.00

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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.