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Finding the Fourth Proportional to 20,893.46, 31,333.97 and 6,098.40

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Solution

The fourth proportional to 20,893.46, 31,333.97 and 6,098.40 is: 9,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.46 : 31,333.97 = 6,098.40 : x
  2. Step 2: Convert to fraction form
    20,893.46/31,333.97 = 6,098.40/x
  3. Step 3: Cross multiply
    20,893.46x = 31,333.97 × 6,098.40
  4. Step 4: Simplify right side
    20,893.46x = 191,087,052.16
  5. Step 5: Solve for x
    x = 191,087,052.16/20,893.46
  6. Step 6: Final answer
    x = 9,145.79

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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.