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Finding the Fourth Proportional to 20,909.36, 31,364.22 and 5,327

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Solution

The fourth proportional to 20,909.36, 31,364.22 and 5,327 is: 7,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.36 : 31,364.22 = 5,327 : x
  2. Step 2: Convert to fraction form
    20,909.36/31,364.22 = 5,327/x
  3. Step 3: Cross multiply
    20,909.36x = 31,364.22 × 5,327
  4. Step 4: Simplify right side
    20,909.36x = 167,077,199.94
  5. Step 5: Solve for x
    x = 167,077,199.94/20,909.36
  6. Step 6: Final answer
    x = 7,990.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.