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Finding the Fourth Proportional to 17,545.96, 24,213.18 and 9,588.22

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Solution

The fourth proportional to 17,545.96, 24,213.18 and 9,588.22 is: 13,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.96 : 24,213.18 = 9,588.22 : x
  2. Step 2: Convert to fraction form
    17,545.96/24,213.18 = 9,588.22/x
  3. Step 3: Cross multiply
    17,545.96x = 24,213.18 × 9,588.22
  4. Step 4: Simplify right side
    17,545.96x = 232,161,296.74
  5. Step 5: Solve for x
    x = 232,161,296.74/17,545.96
  6. Step 6: Final answer
    x = 13,231.61

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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.