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Finding the Fourth Proportional to 11,806.56, 17,734.44 and 9,961.28

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Solution

The fourth proportional to 11,806.56, 17,734.44 and 9,961.28 is: 14,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.56 : 17,734.44 = 9,961.28 : x
  2. Step 2: Convert to fraction form
    11,806.56/17,734.44 = 9,961.28/x
  3. Step 3: Cross multiply
    11,806.56x = 17,734.44 × 9,961.28
  4. Step 4: Simplify right side
    11,806.56x = 176,657,737.67
  5. Step 5: Solve for x
    x = 176,657,737.67/11,806.56
  6. Step 6: Final answer
    x = 14,962.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.