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Finding the Fourth Proportional to 24,589.12, 33,932.90 and 13,411.12

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Solution

The fourth proportional to 24,589.12, 33,932.90 and 13,411.12 is: 18,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.12 : 33,932.90 = 13,411.12 : x
  2. Step 2: Convert to fraction form
    24,589.12/33,932.90 = 13,411.12/x
  3. Step 3: Cross multiply
    24,589.12x = 33,932.90 × 13,411.12
  4. Step 4: Simplify right side
    24,589.12x = 455,078,193.85
  5. Step 5: Solve for x
    x = 455,078,193.85/24,589.12
  6. Step 6: Final answer
    x = 18,507.30

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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.