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Finding the Fourth Proportional to 12,813.82, 19,222.77 and 5,418.34

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Solution

The fourth proportional to 12,813.82, 19,222.77 and 5,418.34 is: 8,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.82 : 19,222.77 = 5,418.34 : x
  2. Step 2: Convert to fraction form
    12,813.82/19,222.77 = 5,418.34/x
  3. Step 3: Cross multiply
    12,813.82x = 19,222.77 × 5,418.34
  4. Step 4: Simplify right side
    12,813.82x = 104,155,503.60
  5. Step 5: Solve for x
    x = 104,155,503.60/12,813.82
  6. Step 6: Final answer
    x = 8,128.37

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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.