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Finding the Fourth Proportional to 18,133.65, 27,202.18 and 6,285.57

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Solution

The fourth proportional to 18,133.65, 27,202.18 and 6,285.57 is: 9,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.65 : 27,202.18 = 6,285.57 : x
  2. Step 2: Convert to fraction form
    18,133.65/27,202.18 = 6,285.57/x
  3. Step 3: Cross multiply
    18,133.65x = 27,202.18 × 6,285.57
  4. Step 4: Simplify right side
    18,133.65x = 170,981,330.12
  5. Step 5: Solve for x
    x = 170,981,330.12/18,133.65
  6. Step 6: Final answer
    x = 9,428.95

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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.