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Finding the Fourth Proportional to 18,569.76, 27,856.53 and 8,037.78

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Solution

The fourth proportional to 18,569.76, 27,856.53 and 8,037.78 is: 12,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.76 : 27,856.53 = 8,037.78 : x
  2. Step 2: Convert to fraction form
    18,569.76/27,856.53 = 8,037.78/x
  3. Step 3: Cross multiply
    18,569.76x = 27,856.53 × 8,037.78
  4. Step 4: Simplify right side
    18,569.76x = 223,904,659.70
  5. Step 5: Solve for x
    x = 223,904,659.70/18,569.76
  6. Step 6: Final answer
    x = 12,057.49

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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.