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Finding the Fourth Proportional to 12,442.77, 18,665.19 and 3,678.08

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Solution

The fourth proportional to 12,442.77, 18,665.19 and 3,678.08 is: 5,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.77 : 18,665.19 = 3,678.08 : x
  2. Step 2: Convert to fraction form
    12,442.77/18,665.19 = 3,678.08/x
  3. Step 3: Cross multiply
    12,442.77x = 18,665.19 × 3,678.08
  4. Step 4: Simplify right side
    12,442.77x = 68,651,968.71
  5. Step 5: Solve for x
    x = 68,651,968.71/12,442.77
  6. Step 6: Final answer
    x = 5,517.42

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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.