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Finding the Fourth Proportional to 22,408.40, 33,636.90 and 14,097.80

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Solution

The fourth proportional to 22,408.40, 33,636.90 and 14,097.80 is: 21,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.40 : 33,636.90 = 14,097.80 : x
  2. Step 2: Convert to fraction form
    22,408.40/33,636.90 = 14,097.80/x
  3. Step 3: Cross multiply
    22,408.40x = 33,636.90 × 14,097.80
  4. Step 4: Simplify right side
    22,408.40x = 474,206,288.82
  5. Step 5: Solve for x
    x = 474,206,288.82/22,408.40
  6. Step 6: Final answer
    x = 21,161.99

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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.