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Finding the Fourth Proportional to 13,027.06, 17,977.24 and 7,724.40

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Solution

The fourth proportional to 13,027.06, 17,977.24 and 7,724.40 is: 10,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.06 : 17,977.24 = 7,724.40 : x
  2. Step 2: Convert to fraction form
    13,027.06/17,977.24 = 7,724.40/x
  3. Step 3: Cross multiply
    13,027.06x = 17,977.24 × 7,724.40
  4. Step 4: Simplify right side
    13,027.06x = 138,863,392.66
  5. Step 5: Solve for x
    x = 138,863,392.66/13,027.06
  6. Step 6: Final answer
    x = 10,659.61

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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.