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Finding the Fourth Proportional to 23,049.50, 31,806.42 and 12,974.72

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Solution

The fourth proportional to 23,049.50, 31,806.42 and 12,974.72 is: 17,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.50 : 31,806.42 = 12,974.72 : x
  2. Step 2: Convert to fraction form
    23,049.50/31,806.42 = 12,974.72/x
  3. Step 3: Cross multiply
    23,049.50x = 31,806.42 × 12,974.72
  4. Step 4: Simplify right side
    23,049.50x = 412,679,393.70
  5. Step 5: Solve for x
    x = 412,679,393.70/23,049.50
  6. Step 6: Final answer
    x = 17,904.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.