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Finding the Fourth Proportional to 12,578.26, 18,868.02 and 4,787.68

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Solution

The fourth proportional to 12,578.26, 18,868.02 and 4,787.68 is: 7,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.26 : 18,868.02 = 4,787.68 : x
  2. Step 2: Convert to fraction form
    12,578.26/18,868.02 = 4,787.68/x
  3. Step 3: Cross multiply
    12,578.26x = 18,868.02 × 4,787.68
  4. Step 4: Simplify right side
    12,578.26x = 90,334,041.99
  5. Step 5: Solve for x
    x = 90,334,041.99/12,578.26
  6. Step 6: Final answer
    x = 7,181.76

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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.