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Finding the Fourth Proportional to 21,132.84, 31,699.62 and 7,991.40

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Solution

The fourth proportional to 21,132.84, 31,699.62 and 7,991.40 is: 11,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.84 : 31,699.62 = 7,991.40 : x
  2. Step 2: Convert to fraction form
    21,132.84/31,699.62 = 7,991.40/x
  3. Step 3: Cross multiply
    21,132.84x = 31,699.62 × 7,991.40
  4. Step 4: Simplify right side
    21,132.84x = 253,324,343.27
  5. Step 5: Solve for x
    x = 253,324,343.27/21,132.84
  6. Step 6: Final answer
    x = 11,987.24

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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.