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Finding the Fourth Proportional to 12,251.86, 18,370.83 and 11,206.96

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Solution

The fourth proportional to 12,251.86, 18,370.83 and 11,206.96 is: 16,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.86 : 18,370.83 = 11,206.96 : x
  2. Step 2: Convert to fraction form
    12,251.86/18,370.83 = 11,206.96/x
  3. Step 3: Cross multiply
    12,251.86x = 18,370.83 × 11,206.96
  4. Step 4: Simplify right side
    12,251.86x = 205,881,156.98
  5. Step 5: Solve for x
    x = 205,881,156.98/12,251.86
  6. Step 6: Final answer
    x = 16,804.07

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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.