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Finding the Fourth Proportional to 20,617.46, 30,926.11 and 7,466.76

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Solution

The fourth proportional to 20,617.46, 30,926.11 and 7,466.76 is: 11,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.46 : 30,926.11 = 7,466.76 : x
  2. Step 2: Convert to fraction form
    20,617.46/30,926.11 = 7,466.76/x
  3. Step 3: Cross multiply
    20,617.46x = 30,926.11 × 7,466.76
  4. Step 4: Simplify right side
    20,617.46x = 230,917,841.10
  5. Step 5: Solve for x
    x = 230,917,841.10/20,617.46
  6. Step 6: Final answer
    x = 11,200.11

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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.