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Finding the Fourth Proportional to 17,749.92, 24,496.34 and 9,793

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Solution

The fourth proportional to 17,749.92, 24,496.34 and 9,793 is: 13,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.92 : 24,496.34 = 9,793 : x
  2. Step 2: Convert to fraction form
    17,749.92/24,496.34 = 9,793/x
  3. Step 3: Cross multiply
    17,749.92x = 24,496.34 × 9,793
  4. Step 4: Simplify right side
    17,749.92x = 239,892,657.62
  5. Step 5: Solve for x
    x = 239,892,657.62/17,749.92
  6. Step 6: Final answer
    x = 13,515.14

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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.