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Finding the Fourth Proportional to 17,843.86, 24,624.47 and 9,886.08

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Solution

The fourth proportional to 17,843.86, 24,624.47 and 9,886.08 is: 13,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.86 : 24,624.47 = 9,886.08 : x
  2. Step 2: Convert to fraction form
    17,843.86/24,624.47 = 9,886.08/x
  3. Step 3: Cross multiply
    17,843.86x = 24,624.47 × 9,886.08
  4. Step 4: Simplify right side
    17,843.86x = 243,439,505.09
  5. Step 5: Solve for x
    x = 243,439,505.09/17,843.86
  6. Step 6: Final answer
    x = 13,642.76

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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.