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Finding the Fourth Proportional to 20,954.47, 31,424.98 and 6,911.34

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Solution

The fourth proportional to 20,954.47, 31,424.98 and 6,911.34 is: 10,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.47 : 31,424.98 = 6,911.34 : x
  2. Step 2: Convert to fraction form
    20,954.47/31,424.98 = 6,911.34/x
  3. Step 3: Cross multiply
    20,954.47x = 31,424.98 × 6,911.34
  4. Step 4: Simplify right side
    20,954.47x = 217,188,721.27
  5. Step 5: Solve for x
    x = 217,188,721.27/20,954.47
  6. Step 6: Final answer
    x = 10,364.79

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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.