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Finding the Fourth Proportional to 12,951.20, 17,856.72 and 9,589.28

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Solution

The fourth proportional to 12,951.20, 17,856.72 and 9,589.28 is: 13,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.20 : 17,856.72 = 9,589.28 : x
  2. Step 2: Convert to fraction form
    12,951.20/17,856.72 = 9,589.28/x
  3. Step 3: Cross multiply
    12,951.20x = 17,856.72 × 9,589.28
  4. Step 4: Simplify right side
    12,951.20x = 171,233,087.96
  5. Step 5: Solve for x
    x = 171,233,087.96/12,951.20
  6. Step 6: Final answer
    x = 13,221.41

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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.