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Finding the Fourth Proportional to 21,738.78, 32,610.20 and 9,086.99

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Solution

The fourth proportional to 21,738.78, 32,610.20 and 9,086.99 is: 13,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.78 : 32,610.20 = 9,086.99 : x
  2. Step 2: Convert to fraction form
    21,738.78/32,610.20 = 9,086.99/x
  3. Step 3: Cross multiply
    21,738.78x = 32,610.20 × 9,086.99
  4. Step 4: Simplify right side
    21,738.78x = 296,328,352.81
  5. Step 5: Solve for x
    x = 296,328,352.81/21,738.78
  6. Step 6: Final answer
    x = 13,631.32

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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.