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Finding the Fourth Proportional to 12,578.66, 18,871.39 and 4,258.68

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Solution

The fourth proportional to 12,578.66, 18,871.39 and 4,258.68 is: 6,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.66 : 18,871.39 = 4,258.68 : x
  2. Step 2: Convert to fraction form
    12,578.66/18,871.39 = 4,258.68/x
  3. Step 3: Cross multiply
    12,578.66x = 18,871.39 × 4,258.68
  4. Step 4: Simplify right side
    12,578.66x = 80,367,127.45
  5. Step 5: Solve for x
    x = 80,367,127.45/12,578.66
  6. Step 6: Final answer
    x = 6,389.16

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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.