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Finding the Fourth Proportional to 12,202.14, 18,306.03 and 5,182.38

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Solution

The fourth proportional to 12,202.14, 18,306.03 and 5,182.38 is: 7,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.14 : 18,306.03 = 5,182.38 : x
  2. Step 2: Convert to fraction form
    12,202.14/18,306.03 = 5,182.38/x
  3. Step 3: Cross multiply
    12,202.14x = 18,306.03 × 5,182.38
  4. Step 4: Simplify right side
    12,202.14x = 94,868,828.36
  5. Step 5: Solve for x
    x = 94,868,828.36/12,202.14
  6. Step 6: Final answer
    x = 7,774.77

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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.