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Finding the Fourth Proportional to 12,682.10, 17,500.86 and 7,016.76

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Solution

The fourth proportional to 12,682.10, 17,500.86 and 7,016.76 is: 9,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.10 : 17,500.86 = 7,016.76 : x
  2. Step 2: Convert to fraction form
    12,682.10/17,500.86 = 7,016.76/x
  3. Step 3: Cross multiply
    12,682.10x = 17,500.86 × 7,016.76
  4. Step 4: Simplify right side
    12,682.10x = 122,799,334.41
  5. Step 5: Solve for x
    x = 122,799,334.41/12,682.10
  6. Step 6: Final answer
    x = 9,682.88

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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.