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Finding the Fourth Proportional to 16,231.91, 22,400.31 and 9,522.36

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Solution

The fourth proportional to 16,231.91, 22,400.31 and 9,522.36 is: 13,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.91 : 22,400.31 = 9,522.36 : x
  2. Step 2: Convert to fraction form
    16,231.91/22,400.31 = 9,522.36/x
  3. Step 3: Cross multiply
    16,231.91x = 22,400.31 × 9,522.36
  4. Step 4: Simplify right side
    16,231.91x = 213,303,815.93
  5. Step 5: Solve for x
    x = 213,303,815.93/16,231.91
  6. Step 6: Final answer
    x = 13,141.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.