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Finding the Fourth Proportional to 20,392.25, 30,596.54 and 9,304.16

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Solution

The fourth proportional to 20,392.25, 30,596.54 and 9,304.16 is: 13,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.25 : 30,596.54 = 9,304.16 : x
  2. Step 2: Convert to fraction form
    20,392.25/30,596.54 = 9,304.16/x
  3. Step 3: Cross multiply
    20,392.25x = 30,596.54 × 9,304.16
  4. Step 4: Simplify right side
    20,392.25x = 284,675,103.61
  5. Step 5: Solve for x
    x = 284,675,103.61/20,392.25
  6. Step 6: Final answer
    x = 13,959.97

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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.