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Finding the Fourth Proportional to 20,863.98, 31,286.25 and 9,005.58

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Solution

The fourth proportional to 20,863.98, 31,286.25 and 9,005.58 is: 13,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.98 : 31,286.25 = 9,005.58 : x
  2. Step 2: Convert to fraction form
    20,863.98/31,286.25 = 9,005.58/x
  3. Step 3: Cross multiply
    20,863.98x = 31,286.25 × 9,005.58
  4. Step 4: Simplify right side
    20,863.98x = 281,750,827.28
  5. Step 5: Solve for x
    x = 281,750,827.28/20,863.98
  6. Step 6: Final answer
    x = 13,504.17

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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.