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Finding the Fourth Proportional to 13,011.66, 19,538.94 and 11,382.18

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Solution

The fourth proportional to 13,011.66, 19,538.94 and 11,382.18 is: 17,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.66 : 19,538.94 = 11,382.18 : x
  2. Step 2: Convert to fraction form
    13,011.66/19,538.94 = 11,382.18/x
  3. Step 3: Cross multiply
    13,011.66x = 19,538.94 × 11,382.18
  4. Step 4: Simplify right side
    13,011.66x = 222,395,732.09
  5. Step 5: Solve for x
    x = 222,395,732.09/13,011.66
  6. Step 6: Final answer
    x = 17,092.03

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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.