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Finding the Fourth Proportional to 12,106.41, 18,144 and 5,864.94

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Solution

The fourth proportional to 12,106.41, 18,144 and 5,864.94 is: 8,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.41 : 18,144 = 5,864.94 : x
  2. Step 2: Convert to fraction form
    12,106.41/18,144 = 5,864.94/x
  3. Step 3: Cross multiply
    12,106.41x = 18,144 × 5,864.94
  4. Step 4: Simplify right side
    12,106.41x = 106,413,471.36
  5. Step 5: Solve for x
    x = 106,413,471.36/12,106.41
  6. Step 6: Final answer
    x = 8,789.85

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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.