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Finding the Fourth Proportional to 12,463.14, 18,695.79 and 3,578.52

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Solution

The fourth proportional to 12,463.14, 18,695.79 and 3,578.52 is: 5,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.14 : 18,695.79 = 3,578.52 : x
  2. Step 2: Convert to fraction form
    12,463.14/18,695.79 = 3,578.52/x
  3. Step 3: Cross multiply
    12,463.14x = 18,695.79 × 3,578.52
  4. Step 4: Simplify right side
    12,463.14x = 66,903,258.43
  5. Step 5: Solve for x
    x = 66,903,258.43/12,463.14
  6. Step 6: Final answer
    x = 5,368.09

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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.