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Finding the Fourth Proportional to 23,169.16, 34,753.24 and 5,639.08

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Solution

The fourth proportional to 23,169.16, 34,753.24 and 5,639.08 is: 8,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.16 : 34,753.24 = 5,639.08 : x
  2. Step 2: Convert to fraction form
    23,169.16/34,753.24 = 5,639.08/x
  3. Step 3: Cross multiply
    23,169.16x = 34,753.24 × 5,639.08
  4. Step 4: Simplify right side
    23,169.16x = 195,976,300.62
  5. Step 5: Solve for x
    x = 195,976,300.62/23,169.16
  6. Step 6: Final answer
    x = 8,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.