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Finding the Fourth Proportional to 21,775.28, 32,674.16 and 9,291.95

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Solution

The fourth proportional to 21,775.28, 32,674.16 and 9,291.95 is: 13,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.28 : 32,674.16 = 9,291.95 : x
  2. Step 2: Convert to fraction form
    21,775.28/32,674.16 = 9,291.95/x
  3. Step 3: Cross multiply
    21,775.28x = 32,674.16 × 9,291.95
  4. Step 4: Simplify right side
    21,775.28x = 303,606,520.87
  5. Step 5: Solve for x
    x = 303,606,520.87/21,775.28
  6. Step 6: Final answer
    x = 13,942.71

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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.