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Finding the Fourth Proportional to 21,983.58, 32,977.41 and 7,947.12

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Solution

The fourth proportional to 21,983.58, 32,977.41 and 7,947.12 is: 11,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.58 : 32,977.41 = 7,947.12 : x
  2. Step 2: Convert to fraction form
    21,983.58/32,977.41 = 7,947.12/x
  3. Step 3: Cross multiply
    21,983.58x = 32,977.41 × 7,947.12
  4. Step 4: Simplify right side
    21,983.58x = 262,075,434.56
  5. Step 5: Solve for x
    x = 262,075,434.56/21,983.58
  6. Step 6: Final answer
    x = 11,921.42

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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.