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Finding the Fourth Proportional to 20,617.22, 30,926.88 and 5,827.20

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Solution

The fourth proportional to 20,617.22, 30,926.88 and 5,827.20 is: 8,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.22 : 30,926.88 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    20,617.22/30,926.88 = 5,827.20/x
  3. Step 3: Cross multiply
    20,617.22x = 30,926.88 × 5,827.20
  4. Step 4: Simplify right side
    20,617.22x = 180,217,115.14
  5. Step 5: Solve for x
    x = 180,217,115.14/20,617.22
  6. Step 6: Final answer
    x = 8,741.10

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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.