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Finding the Fourth Proportional to 22,454.25, 30,986.35 and 12,382.40

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Solution

The fourth proportional to 22,454.25, 30,986.35 and 12,382.40 is: 17,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.25 : 30,986.35 = 12,382.40 : x
  2. Step 2: Convert to fraction form
    22,454.25/30,986.35 = 12,382.40/x
  3. Step 3: Cross multiply
    22,454.25x = 30,986.35 × 12,382.40
  4. Step 4: Simplify right side
    22,454.25x = 383,685,426.75
  5. Step 5: Solve for x
    x = 383,685,426.75/22,454.25
  6. Step 6: Final answer
    x = 17,087.43

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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.