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Finding the Fourth Proportional to 21,832.18, 32,729.76 and 7,787.98

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Solution

The fourth proportional to 21,832.18, 32,729.76 and 7,787.98 is: 11,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.18 : 32,729.76 = 7,787.98 : x
  2. Step 2: Convert to fraction form
    21,832.18/32,729.76 = 7,787.98/x
  3. Step 3: Cross multiply
    21,832.18x = 32,729.76 × 7,787.98
  4. Step 4: Simplify right side
    21,832.18x = 254,898,716.28
  5. Step 5: Solve for x
    x = 254,898,716.28/21,832.18
  6. Step 6: Final answer
    x = 11,675.37

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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.