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Finding the Fourth Proportional to 12,694.92, 17,527.14 and 8,714.76

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Solution

The fourth proportional to 12,694.92, 17,527.14 and 8,714.76 is: 12,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.92 : 17,527.14 = 8,714.76 : x
  2. Step 2: Convert to fraction form
    12,694.92/17,527.14 = 8,714.76/x
  3. Step 3: Cross multiply
    12,694.92x = 17,527.14 × 8,714.76
  4. Step 4: Simplify right side
    12,694.92x = 152,744,818.59
  5. Step 5: Solve for x
    x = 152,744,818.59/12,694.92
  6. Step 6: Final answer
    x = 12,031.96

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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.