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Finding the Fourth Proportional to 24,165.20, 36,226.20 and 9,369.20

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Solution

The fourth proportional to 24,165.20, 36,226.20 and 9,369.20 is: 14,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.20 : 36,226.20 = 9,369.20 : x
  2. Step 2: Convert to fraction form
    24,165.20/36,226.20 = 9,369.20/x
  3. Step 3: Cross multiply
    24,165.20x = 36,226.20 × 9,369.20
  4. Step 4: Simplify right side
    24,165.20x = 339,410,513.04
  5. Step 5: Solve for x
    x = 339,410,513.04/24,165.20
  6. Step 6: Final answer
    x = 14,045.43

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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.