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Finding the Fourth Proportional to 21,272.11, 31,911.97 and 7,231.40

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Solution

The fourth proportional to 21,272.11, 31,911.97 and 7,231.40 is: 10,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.11 : 31,911.97 = 7,231.40 : x
  2. Step 2: Convert to fraction form
    21,272.11/31,911.97 = 7,231.40/x
  3. Step 3: Cross multiply
    21,272.11x = 31,911.97 × 7,231.40
  4. Step 4: Simplify right side
    21,272.11x = 230,768,219.86
  5. Step 5: Solve for x
    x = 230,768,219.86/21,272.11
  6. Step 6: Final answer
    x = 10,848.39

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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.