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Finding the Fourth Proportional to 13,086, 19,635.30 and 6,512.76

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Solution

The fourth proportional to 13,086, 19,635.30 and 6,512.76 is: 9,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 19,635.30 = 6,512.76 : x
  2. Step 2: Convert to fraction form
    13,086/19,635.30 = 6,512.76/x
  3. Step 3: Cross multiply
    13,086x = 19,635.30 × 6,512.76
  4. Step 4: Simplify right side
    13,086x = 127,879,996.43
  5. Step 5: Solve for x
    x = 127,879,996.43/13,086
  6. Step 6: Final answer
    x = 9,772.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.