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Finding the Fourth Proportional to 12,578.68, 18,858.91 and 5,915.62

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Solution

The fourth proportional to 12,578.68, 18,858.91 and 5,915.62 is: 8,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.68 : 18,858.91 = 5,915.62 : x
  2. Step 2: Convert to fraction form
    12,578.68/18,858.91 = 5,915.62/x
  3. Step 3: Cross multiply
    12,578.68x = 18,858.91 × 5,915.62
  4. Step 4: Simplify right side
    12,578.68x = 111,562,145.17
  5. Step 5: Solve for x
    x = 111,562,145.17/12,578.68
  6. Step 6: Final answer
    x = 8,869.15

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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.