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Finding the Fourth Proportional to 12,578.49, 18,866.12 and 4,258.17

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Solution

The fourth proportional to 12,578.49, 18,866.12 and 4,258.17 is: 6,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.49 : 18,866.12 = 4,258.17 : x
  2. Step 2: Convert to fraction form
    12,578.49/18,866.12 = 4,258.17/x
  3. Step 3: Cross multiply
    12,578.49x = 18,866.12 × 4,258.17
  4. Step 4: Simplify right side
    12,578.49x = 80,335,124.91
  5. Step 5: Solve for x
    x = 80,335,124.91/12,578.49
  6. Step 6: Final answer
    x = 6,386.71

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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.