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Finding the Fourth Proportional to 12,578.32, 18,866.39 and 4,258.16

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Solution

The fourth proportional to 12,578.32, 18,866.39 and 4,258.16 is: 6,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.32 : 18,866.39 = 4,258.16 : x
  2. Step 2: Convert to fraction form
    12,578.32/18,866.39 = 4,258.16/x
  3. Step 3: Cross multiply
    12,578.32x = 18,866.39 × 4,258.16
  4. Step 4: Simplify right side
    12,578.32x = 80,336,107.24
  5. Step 5: Solve for x
    x = 80,336,107.24/12,578.32
  6. Step 6: Final answer
    x = 6,386.87

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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.