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Finding the Fourth Proportional to 17,407.80, 24,012.81 and 11,022.66

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Solution

The fourth proportional to 17,407.80, 24,012.81 and 11,022.66 is: 15,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.80 : 24,012.81 = 11,022.66 : x
  2. Step 2: Convert to fraction form
    17,407.80/24,012.81 = 11,022.66/x
  3. Step 3: Cross multiply
    17,407.80x = 24,012.81 × 11,022.66
  4. Step 4: Simplify right side
    17,407.80x = 264,685,040.27
  5. Step 5: Solve for x
    x = 264,685,040.27/17,407.80
  6. Step 6: Final answer
    x = 15,204.97

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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.