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Finding the Fourth Proportional to 23,121.92, 34,688 and 12,728.32

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Solution

The fourth proportional to 23,121.92, 34,688 and 12,728.32 is: 19,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121.92 : 34,688 = 12,728.32 : x
  2. Step 2: Convert to fraction form
    23,121.92/34,688 = 12,728.32/x
  3. Step 3: Cross multiply
    23,121.92x = 34,688 × 12,728.32
  4. Step 4: Simplify right side
    23,121.92x = 441,519,964.16
  5. Step 5: Solve for x
    x = 441,519,964.16/23,121.92
  6. Step 6: Final answer
    x = 19,095.30

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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.