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Finding the Fourth Proportional to 22,408.80, 33,598.80 and 9,266.40

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Solution

The fourth proportional to 22,408.80, 33,598.80 and 9,266.40 is: 13,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.80 : 33,598.80 = 9,266.40 : x
  2. Step 2: Convert to fraction form
    22,408.80/33,598.80 = 9,266.40/x
  3. Step 3: Cross multiply
    22,408.80x = 33,598.80 × 9,266.40
  4. Step 4: Simplify right side
    22,408.80x = 311,339,920.32
  5. Step 5: Solve for x
    x = 311,339,920.32/22,408.80
  6. Step 6: Final answer
    x = 13,893.65

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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.