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Finding the Fourth Proportional to 26,765.84, 36,921 and 16,149.20

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Solution

The fourth proportional to 26,765.84, 36,921 and 16,149.20 is: 22,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,765.84 : 36,921 = 16,149.20 : x
  2. Step 2: Convert to fraction form
    26,765.84/36,921 = 16,149.20/x
  3. Step 3: Cross multiply
    26,765.84x = 36,921 × 16,149.20
  4. Step 4: Simplify right side
    26,765.84x = 596,244,613.20
  5. Step 5: Solve for x
    x = 596,244,613.20/26,765.84
  6. Step 6: Final answer
    x = 22,276.33

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