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Finding the Fourth Proportional to 22,995.24, 34,464.02 and 9,832.16

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Solution

The fourth proportional to 22,995.24, 34,464.02 and 9,832.16 is: 14,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995.24 : 34,464.02 = 9,832.16 : x
  2. Step 2: Convert to fraction form
    22,995.24/34,464.02 = 9,832.16/x
  3. Step 3: Cross multiply
    22,995.24x = 34,464.02 × 9,832.16
  4. Step 4: Simplify right side
    22,995.24x = 338,855,758.88
  5. Step 5: Solve for x
    x = 338,855,758.88/22,995.24
  6. Step 6: Final answer
    x = 14,735.91

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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.