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Finding the Fourth Proportional to 20,049.40, 27,785.02 and 19,767.52

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Solution

The fourth proportional to 20,049.40, 27,785.02 and 19,767.52 is: 27,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.40 : 27,785.02 = 19,767.52 : x
  2. Step 2: Convert to fraction form
    20,049.40/27,785.02 = 19,767.52/x
  3. Step 3: Cross multiply
    20,049.40x = 27,785.02 × 19,767.52
  4. Step 4: Simplify right side
    20,049.40x = 549,240,938.55
  5. Step 5: Solve for x
    x = 549,240,938.55/20,049.40
  6. Step 6: Final answer
    x = 27,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.