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Finding the Fourth Proportional to 12,439.76, 17,159.36 and 7,962

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Solution

The fourth proportional to 12,439.76, 17,159.36 and 7,962 is: 10,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439.76 : 17,159.36 = 7,962 : x
  2. Step 2: Convert to fraction form
    12,439.76/17,159.36 = 7,962/x
  3. Step 3: Cross multiply
    12,439.76x = 17,159.36 × 7,962
  4. Step 4: Simplify right side
    12,439.76x = 136,622,824.32
  5. Step 5: Solve for x
    x = 136,622,824.32/12,439.76
  6. Step 6: Final answer
    x = 10,982.75

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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.