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Finding the Fourth Proportional to 12,578.90, 18,871.07 and 3,814.52

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Solution

The fourth proportional to 12,578.90, 18,871.07 and 3,814.52 is: 5,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.90 : 18,871.07 = 3,814.52 : x
  2. Step 2: Convert to fraction form
    12,578.90/18,871.07 = 3,814.52/x
  3. Step 3: Cross multiply
    12,578.90x = 18,871.07 × 3,814.52
  4. Step 4: Simplify right side
    12,578.90x = 71,983,960.51
  5. Step 5: Solve for x
    x = 71,983,960.51/12,578.90
  6. Step 6: Final answer
    x = 5,722.60

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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.