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Finding the Fourth Proportional to 23,013.62, 34,527.68 and 8,222.21

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Solution

The fourth proportional to 23,013.62, 34,527.68 and 8,222.21 is: 12,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.62 : 34,527.68 = 8,222.21 : x
  2. Step 2: Convert to fraction form
    23,013.62/34,527.68 = 8,222.21/x
  3. Step 3: Cross multiply
    23,013.62x = 34,527.68 × 8,222.21
  4. Step 4: Simplify right side
    23,013.62x = 283,893,835.77
  5. Step 5: Solve for x
    x = 283,893,835.77/23,013.62
  6. Step 6: Final answer
    x = 12,335.91

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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.