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Finding the Fourth Proportional to 11,832.97, 17,728.56 and 10,545.88

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Solution

The fourth proportional to 11,832.97, 17,728.56 and 10,545.88 is: 15,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.97 : 17,728.56 = 10,545.88 : x
  2. Step 2: Convert to fraction form
    11,832.97/17,728.56 = 10,545.88/x
  3. Step 3: Cross multiply
    11,832.97x = 17,728.56 × 10,545.88
  4. Step 4: Simplify right side
    11,832.97x = 186,963,266.33
  5. Step 5: Solve for x
    x = 186,963,266.33/11,832.97
  6. Step 6: Final answer
    x = 15,800.20

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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.