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Finding the Fourth Proportional to 21,850.24, 32,771.83 and 7,059.23

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Solution

The fourth proportional to 21,850.24, 32,771.83 and 7,059.23 is: 10,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.24 : 32,771.83 = 7,059.23 : x
  2. Step 2: Convert to fraction form
    21,850.24/32,771.83 = 7,059.23/x
  3. Step 3: Cross multiply
    21,850.24x = 32,771.83 × 7,059.23
  4. Step 4: Simplify right side
    21,850.24x = 231,343,885.49
  5. Step 5: Solve for x
    x = 231,343,885.49/21,850.24
  6. Step 6: Final answer
    x = 10,587.70

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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.