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Finding the Fourth Proportional to 21,133.96, 31,708.14 and 7,990.12

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Solution

The fourth proportional to 21,133.96, 31,708.14 and 7,990.12 is: 11,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.96 : 31,708.14 = 7,990.12 : x
  2. Step 2: Convert to fraction form
    21,133.96/31,708.14 = 7,990.12/x
  3. Step 3: Cross multiply
    21,133.96x = 31,708.14 × 7,990.12
  4. Step 4: Simplify right side
    21,133.96x = 253,351,843.58
  5. Step 5: Solve for x
    x = 253,351,843.58/21,133.96
  6. Step 6: Final answer
    x = 11,987.90

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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.