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Finding the Fourth Proportional to 21,223.36, 31,834.68 and 7,372

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Solution

The fourth proportional to 21,223.36, 31,834.68 and 7,372 is: 11,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.36 : 31,834.68 = 7,372 : x
  2. Step 2: Convert to fraction form
    21,223.36/31,834.68 = 7,372/x
  3. Step 3: Cross multiply
    21,223.36x = 31,834.68 × 7,372
  4. Step 4: Simplify right side
    21,223.36x = 234,685,260.96
  5. Step 5: Solve for x
    x = 234,685,260.96/21,223.36
  6. Step 6: Final answer
    x = 11,057.87

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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.