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Finding the Fourth Proportional to 22,713.75, 31,345.11 and 12,777.75

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Solution

The fourth proportional to 22,713.75, 31,345.11 and 12,777.75 is: 17,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.75 : 31,345.11 = 12,777.75 : x
  2. Step 2: Convert to fraction form
    22,713.75/31,345.11 = 12,777.75/x
  3. Step 3: Cross multiply
    22,713.75x = 31,345.11 × 12,777.75
  4. Step 4: Simplify right side
    22,713.75x = 400,519,979.30
  5. Step 5: Solve for x
    x = 400,519,979.30/22,713.75
  6. Step 6: Final answer
    x = 17,633.37

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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.