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Finding the Fourth Proportional to 12,732.66, 17,568.36 and 7,695.88

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Solution

The fourth proportional to 12,732.66, 17,568.36 and 7,695.88 is: 10,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.66 : 17,568.36 = 7,695.88 : x
  2. Step 2: Convert to fraction form
    12,732.66/17,568.36 = 7,695.88/x
  3. Step 3: Cross multiply
    12,732.66x = 17,568.36 × 7,695.88
  4. Step 4: Simplify right side
    12,732.66x = 135,203,946.44
  5. Step 5: Solve for x
    x = 135,203,946.44/12,732.66
  6. Step 6: Final answer
    x = 10,618.67

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Why These Related Problems?

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