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Finding the Fourth Proportional to 20,734, 28,613.64 and 11,781.84

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Solution

The fourth proportional to 20,734, 28,613.64 and 11,781.84 is: 16,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734 : 28,613.64 = 11,781.84 : x
  2. Step 2: Convert to fraction form
    20,734/28,613.64 = 11,781.84/x
  3. Step 3: Cross multiply
    20,734x = 28,613.64 × 11,781.84
  4. Step 4: Simplify right side
    20,734x = 337,121,328.30
  5. Step 5: Solve for x
    x = 337,121,328.30/20,734
  6. Step 6: Final answer
    x = 16,259.35

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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.