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Finding the Fourth Proportional to 11,500.56, 17,165.51 and 9,912.48

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Solution

The fourth proportional to 11,500.56, 17,165.51 and 9,912.48 is: 14,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.56 : 17,165.51 = 9,912.48 : x
  2. Step 2: Convert to fraction form
    11,500.56/17,165.51 = 9,912.48/x
  3. Step 3: Cross multiply
    11,500.56x = 17,165.51 × 9,912.48
  4. Step 4: Simplify right side
    11,500.56x = 170,152,725.68
  5. Step 5: Solve for x
    x = 170,152,725.68/11,500.56
  6. Step 6: Final answer
    x = 14,795.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.