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Finding the Fourth Proportional to 13,456, 18,568.88 and 7,789.96

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Solution

The fourth proportional to 13,456, 18,568.88 and 7,789.96 is: 10,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456 : 18,568.88 = 7,789.96 : x
  2. Step 2: Convert to fraction form
    13,456/18,568.88 = 7,789.96/x
  3. Step 3: Cross multiply
    13,456x = 18,568.88 × 7,789.96
  4. Step 4: Simplify right side
    13,456x = 144,650,832.44
  5. Step 5: Solve for x
    x = 144,650,832.44/13,456
  6. Step 6: Final answer
    x = 10,749.91

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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.