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Finding the Fourth Proportional to 21,771.96, 32,640.74 and 9,294.04

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Solution

The fourth proportional to 21,771.96, 32,640.74 and 9,294.04 is: 13,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.96 : 32,640.74 = 9,294.04 : x
  2. Step 2: Convert to fraction form
    21,771.96/32,640.74 = 9,294.04/x
  3. Step 3: Cross multiply
    21,771.96x = 32,640.74 × 9,294.04
  4. Step 4: Simplify right side
    21,771.96x = 303,364,343.19
  5. Step 5: Solve for x
    x = 303,364,343.19/21,771.96
  6. Step 6: Final answer
    x = 13,933.72

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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.