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Finding the Fourth Proportional to 11,891.25, 17,832.42 and 9,545.49

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Solution

The fourth proportional to 11,891.25, 17,832.42 and 9,545.49 is: 14,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.25 : 17,832.42 = 9,545.49 : x
  2. Step 2: Convert to fraction form
    11,891.25/17,832.42 = 9,545.49/x
  3. Step 3: Cross multiply
    11,891.25x = 17,832.42 × 9,545.49
  4. Step 4: Simplify right side
    11,891.25x = 170,219,186.79
  5. Step 5: Solve for x
    x = 170,219,186.79/11,891.25
  6. Step 6: Final answer
    x = 14,314.66

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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.