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Finding the Fourth Proportional to 23,146.46, 34,712.53 and 8,353.49

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Solution

The fourth proportional to 23,146.46, 34,712.53 and 8,353.49 is: 12,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.46 : 34,712.53 = 8,353.49 : x
  2. Step 2: Convert to fraction form
    23,146.46/34,712.53 = 8,353.49/x
  3. Step 3: Cross multiply
    23,146.46x = 34,712.53 × 8,353.49
  4. Step 4: Simplify right side
    23,146.46x = 289,970,772.23
  5. Step 5: Solve for x
    x = 289,970,772.23/23,146.46
  6. Step 6: Final answer
    x = 12,527.65

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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.