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Finding the Fourth Proportional to 11,832.70, 16,278.81 and 11,504.65

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Solution

The fourth proportional to 11,832.70, 16,278.81 and 11,504.65 is: 15,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.70 : 16,278.81 = 11,504.65 : x
  2. Step 2: Convert to fraction form
    11,832.70/16,278.81 = 11,504.65/x
  3. Step 3: Cross multiply
    11,832.70x = 16,278.81 × 11,504.65
  4. Step 4: Simplify right side
    11,832.70x = 187,282,011.47
  5. Step 5: Solve for x
    x = 187,282,011.47/11,832.70
  6. Step 6: Final answer
    x = 15,827.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.