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Finding the Fourth Proportional to 12,578.66, 18,870.71 and 3,814.22

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Solution

The fourth proportional to 12,578.66, 18,870.71 and 3,814.22 is: 5,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.66 : 18,870.71 = 3,814.22 : x
  2. Step 2: Convert to fraction form
    12,578.66/18,870.71 = 3,814.22/x
  3. Step 3: Cross multiply
    12,578.66x = 18,870.71 × 3,814.22
  4. Step 4: Simplify right side
    12,578.66x = 71,977,039.50
  5. Step 5: Solve for x
    x = 71,977,039.50/12,578.66
  6. Step 6: Final answer
    x = 5,722.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.