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Finding the Fourth Proportional to 22,856.64, 34,286.47 and 8,816.81

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Solution

The fourth proportional to 22,856.64, 34,286.47 and 8,816.81 is: 13,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.64 : 34,286.47 = 8,816.81 : x
  2. Step 2: Convert to fraction form
    22,856.64/34,286.47 = 8,816.81/x
  3. Step 3: Cross multiply
    22,856.64x = 34,286.47 × 8,816.81
  4. Step 4: Simplify right side
    22,856.64x = 302,297,147.68
  5. Step 5: Solve for x
    x = 302,297,147.68/22,856.64
  6. Step 6: Final answer
    x = 13,225.79

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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.