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Finding the Fourth Proportional to 17,546.78, 24,214.50 and 9,589.05

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Solution

The fourth proportional to 17,546.78, 24,214.50 and 9,589.05 is: 13,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.78 : 24,214.50 = 9,589.05 : x
  2. Step 2: Convert to fraction form
    17,546.78/24,214.50 = 9,589.05/x
  3. Step 3: Cross multiply
    17,546.78x = 24,214.50 × 9,589.05
  4. Step 4: Simplify right side
    17,546.78x = 232,194,051.23
  5. Step 5: Solve for x
    x = 232,194,051.23/17,546.78
  6. Step 6: Final answer
    x = 13,232.86

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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.