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Finding the Fourth Proportional to 20,037.78, 27,652.62 and 11,085.45

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Solution

The fourth proportional to 20,037.78, 27,652.62 and 11,085.45 is: 15,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.78 : 27,652.62 = 11,085.45 : x
  2. Step 2: Convert to fraction form
    20,037.78/27,652.62 = 11,085.45/x
  3. Step 3: Cross multiply
    20,037.78x = 27,652.62 × 11,085.45
  4. Step 4: Simplify right side
    20,037.78x = 306,541,736.38
  5. Step 5: Solve for x
    x = 306,541,736.38/20,037.78
  6. Step 6: Final answer
    x = 15,298.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.