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Finding the Fourth Proportional to 21,677.52, 32,517.54 and 6,096.36

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Solution

The fourth proportional to 21,677.52, 32,517.54 and 6,096.36 is: 9,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.52 : 32,517.54 = 6,096.36 : x
  2. Step 2: Convert to fraction form
    21,677.52/32,517.54 = 6,096.36/x
  3. Step 3: Cross multiply
    21,677.52x = 32,517.54 × 6,096.36
  4. Step 4: Simplify right side
    21,677.52x = 198,238,630.15
  5. Step 5: Solve for x
    x = 198,238,630.15/21,677.52
  6. Step 6: Final answer
    x = 9,144.89

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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.