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Finding the Fourth Proportional to 22,454.65, 30,986.85 and 12,896.25

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Solution

The fourth proportional to 22,454.65, 30,986.85 and 12,896.25 is: 17,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.65 : 30,986.85 = 12,896.25 : x
  2. Step 2: Convert to fraction form
    22,454.65/30,986.85 = 12,896.25/x
  3. Step 3: Cross multiply
    22,454.65x = 30,986.85 × 12,896.25
  4. Step 4: Simplify right side
    22,454.65x = 399,614,164.31
  5. Step 5: Solve for x
    x = 399,614,164.31/22,454.65
  6. Step 6: Final answer
    x = 17,796.50

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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.