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Finding the Fourth Proportional to 12,386.98, 18,578.47 and 4,066.83

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Solution

The fourth proportional to 12,386.98, 18,578.47 and 4,066.83 is: 6,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.98 : 18,578.47 = 4,066.83 : x
  2. Step 2: Convert to fraction form
    12,386.98/18,578.47 = 4,066.83/x
  3. Step 3: Cross multiply
    12,386.98x = 18,578.47 × 4,066.83
  4. Step 4: Simplify right side
    12,386.98x = 75,555,479.15
  5. Step 5: Solve for x
    x = 75,555,479.15/12,386.98
  6. Step 6: Final answer
    x = 6,099.59

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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.