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Finding the Fourth Proportional to 20,732.94, 31,103.82 and 6,693.76

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Solution

The fourth proportional to 20,732.94, 31,103.82 and 6,693.76 is: 10,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.94 : 31,103.82 = 6,693.76 : x
  2. Step 2: Convert to fraction form
    20,732.94/31,103.82 = 6,693.76/x
  3. Step 3: Cross multiply
    20,732.94x = 31,103.82 × 6,693.76
  4. Step 4: Simplify right side
    20,732.94x = 208,201,506.16
  5. Step 5: Solve for x
    x = 208,201,506.16/20,732.94
  6. Step 6: Final answer
    x = 10,042.06

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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.