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Finding the Fourth Proportional to 12,814.40, 19,224.12 and 5,418.80

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Solution

The fourth proportional to 12,814.40, 19,224.12 and 5,418.80 is: 8,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.40 : 19,224.12 = 5,418.80 : x
  2. Step 2: Convert to fraction form
    12,814.40/19,224.12 = 5,418.80/x
  3. Step 3: Cross multiply
    12,814.40x = 19,224.12 × 5,418.80
  4. Step 4: Simplify right side
    12,814.40x = 104,171,661.46
  5. Step 5: Solve for x
    x = 104,171,661.46/12,814.40
  6. Step 6: Final answer
    x = 8,129.27

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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.