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Finding the Fourth Proportional to 12,844, 17,724.72 and 6,956

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Solution

The fourth proportional to 12,844, 17,724.72 and 6,956 is: 9,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844 : 17,724.72 = 6,956 : x
  2. Step 2: Convert to fraction form
    12,844/17,724.72 = 6,956/x
  3. Step 3: Cross multiply
    12,844x = 17,724.72 × 6,956
  4. Step 4: Simplify right side
    12,844x = 123,293,152.32
  5. Step 5: Solve for x
    x = 123,293,152.32/12,844
  6. Step 6: Final answer
    x = 9,599.28

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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.