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Finding the Fourth Proportional to 23,672.70, 35,510.67 and 9,632.57

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Solution

The fourth proportional to 23,672.70, 35,510.67 and 9,632.57 is: 14,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.70 : 35,510.67 = 9,632.57 : x
  2. Step 2: Convert to fraction form
    23,672.70/35,510.67 = 9,632.57/x
  3. Step 3: Cross multiply
    23,672.70x = 35,510.67 × 9,632.57
  4. Step 4: Simplify right side
    23,672.70x = 342,058,836.97
  5. Step 5: Solve for x
    x = 342,058,836.97/23,672.70
  6. Step 6: Final answer
    x = 14,449.51

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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.