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Finding the Fourth Proportional to 12,340.85, 18,511.49 and 4,020.83

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Solution

The fourth proportional to 12,340.85, 18,511.49 and 4,020.83 is: 6,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.85 : 18,511.49 = 4,020.83 : x
  2. Step 2: Convert to fraction form
    12,340.85/18,511.49 = 4,020.83/x
  3. Step 3: Cross multiply
    12,340.85x = 18,511.49 × 4,020.83
  4. Step 4: Simplify right side
    12,340.85x = 74,431,534.23
  5. Step 5: Solve for x
    x = 74,431,534.23/12,340.85
  6. Step 6: Final answer
    x = 6,031.32

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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.