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Finding the Fourth Proportional to 17,867.98, 24,657.65 and 9,910.22

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Solution

The fourth proportional to 17,867.98, 24,657.65 and 9,910.22 is: 13,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.98 : 24,657.65 = 9,910.22 : x
  2. Step 2: Convert to fraction form
    17,867.98/24,657.65 = 9,910.22/x
  3. Step 3: Cross multiply
    17,867.98x = 24,657.65 × 9,910.22
  4. Step 4: Simplify right side
    17,867.98x = 244,362,736.18
  5. Step 5: Solve for x
    x = 244,362,736.18/17,867.98
  6. Step 6: Final answer
    x = 13,676.01

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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.