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Finding the Fourth Proportional to 23,490.75, 35,227.98 and 9,446.61

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Solution

The fourth proportional to 23,490.75, 35,227.98 and 9,446.61 is: 14,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490.75 : 35,227.98 = 9,446.61 : x
  2. Step 2: Convert to fraction form
    23,490.75/35,227.98 = 9,446.61/x
  3. Step 3: Cross multiply
    23,490.75x = 35,227.98 × 9,446.61
  4. Step 4: Simplify right side
    23,490.75x = 332,784,988.15
  5. Step 5: Solve for x
    x = 332,784,988.15/23,490.75
  6. Step 6: Final answer
    x = 14,166.64

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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.