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Finding the Fourth Proportional to 17,868.21, 24,659.65 and 9,913

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Solution

The fourth proportional to 17,868.21, 24,659.65 and 9,913 is: 13,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.21 : 24,659.65 = 9,913 : x
  2. Step 2: Convert to fraction form
    17,868.21/24,659.65 = 9,913/x
  3. Step 3: Cross multiply
    17,868.21x = 24,659.65 × 9,913
  4. Step 4: Simplify right side
    17,868.21x = 244,451,110.45
  5. Step 5: Solve for x
    x = 244,451,110.45/17,868.21
  6. Step 6: Final answer
    x = 13,680.78

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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.