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Finding the Fourth Proportional to 12,947.28, 17,867.64 and 7,646.64

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Solution

The fourth proportional to 12,947.28, 17,867.64 and 7,646.64 is: 10,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.28 : 17,867.64 = 7,646.64 : x
  2. Step 2: Convert to fraction form
    12,947.28/17,867.64 = 7,646.64/x
  3. Step 3: Cross multiply
    12,947.28x = 17,867.64 × 7,646.64
  4. Step 4: Simplify right side
    12,947.28x = 136,627,410.73
  5. Step 5: Solve for x
    x = 136,627,410.73/12,947.28
  6. Step 6: Final answer
    x = 10,552.60

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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.