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Finding the Fourth Proportional to 12,182.80, 18,285.66 and 11,516.98

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Solution

The fourth proportional to 12,182.80, 18,285.66 and 11,516.98 is: 17,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.80 : 18,285.66 = 11,516.98 : x
  2. Step 2: Convert to fraction form
    12,182.80/18,285.66 = 11,516.98/x
  3. Step 3: Cross multiply
    12,182.80x = 18,285.66 × 11,516.98
  4. Step 4: Simplify right side
    12,182.80x = 210,595,580.51
  5. Step 5: Solve for x
    x = 210,595,580.51/12,182.80
  6. Step 6: Final answer
    x = 17,286.30

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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.