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Finding the Fourth Proportional to 15,787.82, 21,787.08 and 8,714.25

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Solution

The fourth proportional to 15,787.82, 21,787.08 and 8,714.25 is: 12,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.82 : 21,787.08 = 8,714.25 : x
  2. Step 2: Convert to fraction form
    15,787.82/21,787.08 = 8,714.25/x
  3. Step 3: Cross multiply
    15,787.82x = 21,787.08 × 8,714.25
  4. Step 4: Simplify right side
    15,787.82x = 189,858,061.89
  5. Step 5: Solve for x
    x = 189,858,061.89/15,787.82
  6. Step 6: Final answer
    x = 12,025.60

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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.