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Finding the Fourth Proportional to 12,578.38, 18,870.97 and 4,258.40

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Solution

The fourth proportional to 12,578.38, 18,870.97 and 4,258.40 is: 6,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.38 : 18,870.97 = 4,258.40 : x
  2. Step 2: Convert to fraction form
    12,578.38/18,870.97 = 4,258.40/x
  3. Step 3: Cross multiply
    12,578.38x = 18,870.97 × 4,258.40
  4. Step 4: Simplify right side
    12,578.38x = 80,360,044.29
  5. Step 5: Solve for x
    x = 80,360,044.29/12,578.38
  6. Step 6: Final answer
    x = 6,388.74

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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.