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Finding the Fourth Proportional to 22,078.49, 33,035.90 and 13,198.74

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Solution

The fourth proportional to 22,078.49, 33,035.90 and 13,198.74 is: 19,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.49 : 33,035.90 = 13,198.74 : x
  2. Step 2: Convert to fraction form
    22,078.49/33,035.90 = 13,198.74/x
  3. Step 3: Cross multiply
    22,078.49x = 33,035.90 × 13,198.74
  4. Step 4: Simplify right side
    22,078.49x = 436,032,254.77
  5. Step 5: Solve for x
    x = 436,032,254.77/22,078.49
  6. Step 6: Final answer
    x = 19,749.19

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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.