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Finding the Fourth Proportional to 23,013.70, 34,520.55 and 8,223.10

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Solution

The fourth proportional to 23,013.70, 34,520.55 and 8,223.10 is: 12,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.70 : 34,520.55 = 8,223.10 : x
  2. Step 2: Convert to fraction form
    23,013.70/34,520.55 = 8,223.10/x
  3. Step 3: Cross multiply
    23,013.70x = 34,520.55 × 8,223.10
  4. Step 4: Simplify right side
    23,013.70x = 283,865,934.71
  5. Step 5: Solve for x
    x = 283,865,934.71/23,013.70
  6. Step 6: Final answer
    x = 12,334.65

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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.