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Finding the Fourth Proportional to 21,200.72, 31,800.12 and 8,725.52

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Solution

The fourth proportional to 21,200.72, 31,800.12 and 8,725.52 is: 13,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.72 : 31,800.12 = 8,725.52 : x
  2. Step 2: Convert to fraction form
    21,200.72/31,800.12 = 8,725.52/x
  3. Step 3: Cross multiply
    21,200.72x = 31,800.12 × 8,725.52
  4. Step 4: Simplify right side
    21,200.72x = 277,472,583.06
  5. Step 5: Solve for x
    x = 277,472,583.06/21,200.72
  6. Step 6: Final answer
    x = 13,087.88

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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.