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Finding the Fourth Proportional to 20,494.39, 28,271.56 and 12,938

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Solution

The fourth proportional to 20,494.39, 28,271.56 and 12,938 is: 17,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.39 : 28,271.56 = 12,938 : x
  2. Step 2: Convert to fraction form
    20,494.39/28,271.56 = 12,938/x
  3. Step 3: Cross multiply
    20,494.39x = 28,271.56 × 12,938
  4. Step 4: Simplify right side
    20,494.39x = 365,777,443.28
  5. Step 5: Solve for x
    x = 365,777,443.28/20,494.39
  6. Step 6: Final answer
    x = 17,847.69

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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.