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Finding the Fourth Proportional to 11,561.99, 17,328.38 and 9,637.43

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Solution

The fourth proportional to 11,561.99, 17,328.38 and 9,637.43 is: 14,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.99 : 17,328.38 = 9,637.43 : x
  2. Step 2: Convert to fraction form
    11,561.99/17,328.38 = 9,637.43/x
  3. Step 3: Cross multiply
    11,561.99x = 17,328.38 × 9,637.43
  4. Step 4: Simplify right side
    11,561.99x = 167,000,914.43
  5. Step 5: Solve for x
    x = 167,000,914.43/11,561.99
  6. Step 6: Final answer
    x = 14,443.97

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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.