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Finding the Fourth Proportional to 15,896.32, 23,824.32 and 8,974.72

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Solution

The fourth proportional to 15,896.32, 23,824.32 and 8,974.72 is: 13,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.32 : 23,824.32 = 8,974.72 : x
  2. Step 2: Convert to fraction form
    15,896.32/23,824.32 = 8,974.72/x
  3. Step 3: Cross multiply
    15,896.32x = 23,824.32 × 8,974.72
  4. Step 4: Simplify right side
    15,896.32x = 213,816,601.19
  5. Step 5: Solve for x
    x = 213,816,601.19/15,896.32
  6. Step 6: Final answer
    x = 13,450.70

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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.