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Finding the Fourth Proportional to 21,252.87, 31,883.11 and 8,765.96

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Solution

The fourth proportional to 21,252.87, 31,883.11 and 8,765.96 is: 13,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.87 : 31,883.11 = 8,765.96 : x
  2. Step 2: Convert to fraction form
    21,252.87/31,883.11 = 8,765.96/x
  3. Step 3: Cross multiply
    21,252.87x = 31,883.11 × 8,765.96
  4. Step 4: Simplify right side
    21,252.87x = 279,485,885.61
  5. Step 5: Solve for x
    x = 279,485,885.61/21,252.87
  6. Step 6: Final answer
    x = 13,150.50

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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.