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Finding the Fourth Proportional to 21,987.12, 32,977.02 and 7,944.42

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Solution

The fourth proportional to 21,987.12, 32,977.02 and 7,944.42 is: 11,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.12 : 32,977.02 = 7,944.42 : x
  2. Step 2: Convert to fraction form
    21,987.12/32,977.02 = 7,944.42/x
  3. Step 3: Cross multiply
    21,987.12x = 32,977.02 × 7,944.42
  4. Step 4: Simplify right side
    21,987.12x = 261,983,297.23
  5. Step 5: Solve for x
    x = 261,983,297.23/21,987.12
  6. Step 6: Final answer
    x = 11,915.31

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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.