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Finding the Fourth Proportional to 19,255.92, 28,884 and 6,108.56

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Solution

The fourth proportional to 19,255.92, 28,884 and 6,108.56 is: 9,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,255.92 : 28,884 = 6,108.56 : x
  2. Step 2: Convert to fraction form
    19,255.92/28,884 = 6,108.56/x
  3. Step 3: Cross multiply
    19,255.92x = 28,884 × 6,108.56
  4. Step 4: Simplify right side
    19,255.92x = 176,439,647.04
  5. Step 5: Solve for x
    x = 176,439,647.04/19,255.92
  6. Step 6: Final answer
    x = 9,162.88

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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.