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Finding the Fourth Proportional to 21,108.33, 31,671 and 7,964.46

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Solution

The fourth proportional to 21,108.33, 31,671 and 7,964.46 is: 11,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.33 : 31,671 = 7,964.46 : x
  2. Step 2: Convert to fraction form
    21,108.33/31,671 = 7,964.46/x
  3. Step 3: Cross multiply
    21,108.33x = 31,671 × 7,964.46
  4. Step 4: Simplify right side
    21,108.33x = 252,242,412.66
  5. Step 5: Solve for x
    x = 252,242,412.66/21,108.33
  6. Step 6: Final answer
    x = 11,949.90

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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.