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Finding the Fourth Proportional to 22,995.90, 34,464.96 and 9,832.80

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Solution

The fourth proportional to 22,995.90, 34,464.96 and 9,832.80 is: 14,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995.90 : 34,464.96 = 9,832.80 : x
  2. Step 2: Convert to fraction form
    22,995.90/34,464.96 = 9,832.80/x
  3. Step 3: Cross multiply
    22,995.90x = 34,464.96 × 9,832.80
  4. Step 4: Simplify right side
    22,995.90x = 338,887,058.69
  5. Step 5: Solve for x
    x = 338,887,058.69/22,995.90
  6. Step 6: Final answer
    x = 14,736.85

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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.