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Finding the Fourth Proportional to 15,787.91, 21,787.50 and 8,714.34

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Solution

The fourth proportional to 15,787.91, 21,787.50 and 8,714.34 is: 12,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.91 : 21,787.50 = 8,714.34 : x
  2. Step 2: Convert to fraction form
    15,787.91/21,787.50 = 8,714.34/x
  3. Step 3: Cross multiply
    15,787.91x = 21,787.50 × 8,714.34
  4. Step 4: Simplify right side
    15,787.91x = 189,863,682.75
  5. Step 5: Solve for x
    x = 189,863,682.75/15,787.91
  6. Step 6: Final answer
    x = 12,025.89

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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.