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Finding the Fourth Proportional to 12,433.81, 18,648.11 and 4,111.87

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Solution

The fourth proportional to 12,433.81, 18,648.11 and 4,111.87 is: 6,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.81 : 18,648.11 = 4,111.87 : x
  2. Step 2: Convert to fraction form
    12,433.81/18,648.11 = 4,111.87/x
  3. Step 3: Cross multiply
    12,433.81x = 18,648.11 × 4,111.87
  4. Step 4: Simplify right side
    12,433.81x = 76,678,567.73
  5. Step 5: Solve for x
    x = 76,678,567.73/12,433.81
  6. Step 6: Final answer
    x = 6,166.94

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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.