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Finding the Fourth Proportional to 12,814.56, 19,221.98 and 5,418.05

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Solution

The fourth proportional to 12,814.56, 19,221.98 and 5,418.05 is: 8,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.56 : 19,221.98 = 5,418.05 : x
  2. Step 2: Convert to fraction form
    12,814.56/19,221.98 = 5,418.05/x
  3. Step 3: Cross multiply
    12,814.56x = 19,221.98 × 5,418.05
  4. Step 4: Simplify right side
    12,814.56x = 104,145,525.54
  5. Step 5: Solve for x
    x = 104,145,525.54/12,814.56
  6. Step 6: Final answer
    x = 8,127.12

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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.