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Finding the Fourth Proportional to 15,714.68, 21,680.11 and 8,996.70

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Solution

The fourth proportional to 15,714.68, 21,680.11 and 8,996.70 is: 12,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.68 : 21,680.11 = 8,996.70 : x
  2. Step 2: Convert to fraction form
    15,714.68/21,680.11 = 8,996.70/x
  3. Step 3: Cross multiply
    15,714.68x = 21,680.11 × 8,996.70
  4. Step 4: Simplify right side
    15,714.68x = 195,049,487.58
  5. Step 5: Solve for x
    x = 195,049,487.58/15,714.68
  6. Step 6: Final answer
    x = 12,411.93

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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.