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Finding the Fourth Proportional to 15,787.86, 21,786.93 and 8,714.31

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Solution

The fourth proportional to 15,787.86, 21,786.93 and 8,714.31 is: 12,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.86 : 21,786.93 = 8,714.31 : x
  2. Step 2: Convert to fraction form
    15,787.86/21,786.93 = 8,714.31/x
  3. Step 3: Cross multiply
    15,787.86x = 21,786.93 × 8,714.31
  4. Step 4: Simplify right side
    15,787.86x = 189,858,061.97
  5. Step 5: Solve for x
    x = 189,858,061.97/15,787.86
  6. Step 6: Final answer
    x = 12,025.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.