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Finding the Fourth Proportional to 12,317.42, 18,477.05 and 3,998.78

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Solution

The fourth proportional to 12,317.42, 18,477.05 and 3,998.78 is: 5,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.42 : 18,477.05 = 3,998.78 : x
  2. Step 2: Convert to fraction form
    12,317.42/18,477.05 = 3,998.78/x
  3. Step 3: Cross multiply
    12,317.42x = 18,477.05 × 3,998.78
  4. Step 4: Simplify right side
    12,317.42x = 73,885,545.62
  5. Step 5: Solve for x
    x = 73,885,545.62/12,317.42
  6. Step 6: Final answer
    x = 5,998.46

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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.