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Finding the Fourth Proportional to 21,190.14, 31,787.06 and 7,863.28

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Solution

The fourth proportional to 21,190.14, 31,787.06 and 7,863.28 is: 11,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.14 : 31,787.06 = 7,863.28 : x
  2. Step 2: Convert to fraction form
    21,190.14/31,787.06 = 7,863.28/x
  3. Step 3: Cross multiply
    21,190.14x = 31,787.06 × 7,863.28
  4. Step 4: Simplify right side
    21,190.14x = 249,950,553.16
  5. Step 5: Solve for x
    x = 249,950,553.16/21,190.14
  6. Step 6: Final answer
    x = 11,795.61

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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.