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Finding the Fourth Proportional to 24,589.42, 33,933.36 and 13,411.42

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Solution

The fourth proportional to 24,589.42, 33,933.36 and 13,411.42 is: 18,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.42 : 33,933.36 = 13,411.42 : x
  2. Step 2: Convert to fraction form
    24,589.42/33,933.36 = 13,411.42/x
  3. Step 3: Cross multiply
    24,589.42x = 33,933.36 × 13,411.42
  4. Step 4: Simplify right side
    24,589.42x = 455,094,542.97
  5. Step 5: Solve for x
    x = 455,094,542.97/24,589.42
  6. Step 6: Final answer
    x = 18,507.74

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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.