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Finding the Fourth Proportional to 22,708.64, 34,062.80 and 8,857.64

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Solution

The fourth proportional to 22,708.64, 34,062.80 and 8,857.64 is: 13,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.64 : 34,062.80 = 8,857.64 : x
  2. Step 2: Convert to fraction form
    22,708.64/34,062.80 = 8,857.64/x
  3. Step 3: Cross multiply
    22,708.64x = 34,062.80 × 8,857.64
  4. Step 4: Simplify right side
    22,708.64x = 301,716,019.79
  5. Step 5: Solve for x
    x = 301,716,019.79/22,708.64
  6. Step 6: Final answer
    x = 13,286.40

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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.