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Finding the Fourth Proportional to 21,850.50, 32,772.96 and 7,057.88

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Solution

The fourth proportional to 21,850.50, 32,772.96 and 7,057.88 is: 10,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.50 : 32,772.96 = 7,057.88 : x
  2. Step 2: Convert to fraction form
    21,850.50/32,772.96 = 7,057.88/x
  3. Step 3: Cross multiply
    21,850.50x = 32,772.96 × 7,057.88
  4. Step 4: Simplify right side
    21,850.50x = 231,307,455.06
  5. Step 5: Solve for x
    x = 231,307,455.06/21,850.50
  6. Step 6: Final answer
    x = 10,585.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.