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Finding the Fourth Proportional to 17,867.86, 24,657.01 and 9,910.82

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Solution

The fourth proportional to 17,867.86, 24,657.01 and 9,910.82 is: 13,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.86 : 24,657.01 = 9,910.82 : x
  2. Step 2: Convert to fraction form
    17,867.86/24,657.01 = 9,910.82/x
  3. Step 3: Cross multiply
    17,867.86x = 24,657.01 × 9,910.82
  4. Step 4: Simplify right side
    17,867.86x = 244,371,231.06
  5. Step 5: Solve for x
    x = 244,371,231.06/17,867.86
  6. Step 6: Final answer
    x = 13,676.58

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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.