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Finding the Fourth Proportional to 29,853.81, 41,197.23 and 17,589.20

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Solution

The fourth proportional to 29,853.81, 41,197.23 and 17,589.20 is: 24,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.81 : 41,197.23 = 17,589.20 : x
  2. Step 2: Convert to fraction form
    29,853.81/41,197.23 = 17,589.20/x
  3. Step 3: Cross multiply
    29,853.81x = 41,197.23 × 17,589.20
  4. Step 4: Simplify right side
    29,853.81x = 724,626,111.93
  5. Step 5: Solve for x
    x = 724,626,111.93/29,853.81
  6. Step 6: Final answer
    x = 24,272.48

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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.