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Finding the Fourth Proportional to 18,382.25, 27,529.50 and 10,574.66

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Solution

The fourth proportional to 18,382.25, 27,529.50 and 10,574.66 is: 15,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.25 : 27,529.50 = 10,574.66 : x
  2. Step 2: Convert to fraction form
    18,382.25/27,529.50 = 10,574.66/x
  3. Step 3: Cross multiply
    18,382.25x = 27,529.50 × 10,574.66
  4. Step 4: Simplify right side
    18,382.25x = 291,115,102.47
  5. Step 5: Solve for x
    x = 291,115,102.47/18,382.25
  6. Step 6: Final answer
    x = 15,836.75

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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.