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Finding the Fourth Proportional to 23,016.71, 34,523.64 and 8,224.89

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Solution

The fourth proportional to 23,016.71, 34,523.64 and 8,224.89 is: 12,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016.71 : 34,523.64 = 8,224.89 : x
  2. Step 2: Convert to fraction form
    23,016.71/34,523.64 = 8,224.89/x
  3. Step 3: Cross multiply
    23,016.71x = 34,523.64 × 8,224.89
  4. Step 4: Simplify right side
    23,016.71x = 283,953,141.40
  5. Step 5: Solve for x
    x = 283,953,141.40/23,016.71
  6. Step 6: Final answer
    x = 12,336.83

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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.