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Finding the Fourth Proportional to 17,843.40, 24,624.09 and 9,885.75

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Solution

The fourth proportional to 17,843.40, 24,624.09 and 9,885.75 is: 13,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.40 : 24,624.09 = 9,885.75 : x
  2. Step 2: Convert to fraction form
    17,843.40/24,624.09 = 9,885.75/x
  3. Step 3: Cross multiply
    17,843.40x = 24,624.09 × 9,885.75
  4. Step 4: Simplify right side
    17,843.40x = 243,427,597.72
  5. Step 5: Solve for x
    x = 243,427,597.72/17,843.40
  6. Step 6: Final answer
    x = 13,642.44

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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.