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Finding the Fourth Proportional to 17,843.53, 24,624.24 and 9,885.86

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Solution

The fourth proportional to 17,843.53, 24,624.24 and 9,885.86 is: 13,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.53 : 24,624.24 = 9,885.86 : x
  2. Step 2: Convert to fraction form
    17,843.53/24,624.24 = 9,885.86/x
  3. Step 3: Cross multiply
    17,843.53x = 24,624.24 × 9,885.86
  4. Step 4: Simplify right side
    17,843.53x = 243,431,789.25
  5. Step 5: Solve for x
    x = 243,431,789.25/17,843.53
  6. Step 6: Final answer
    x = 13,642.58

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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.