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Finding the Fourth Proportional to 18,164.25, 27,237.87 and 6,474.74

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Solution

The fourth proportional to 18,164.25, 27,237.87 and 6,474.74 is: 9,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.25 : 27,237.87 = 6,474.74 : x
  2. Step 2: Convert to fraction form
    18,164.25/27,237.87 = 6,474.74/x
  3. Step 3: Cross multiply
    18,164.25x = 27,237.87 × 6,474.74
  4. Step 4: Simplify right side
    18,164.25x = 176,357,990.21
  5. Step 5: Solve for x
    x = 176,357,990.21/18,164.25
  6. Step 6: Final answer
    x = 9,709.07

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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.