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Finding the Fourth Proportional to 17,865.20, 24,653 and 9,906.86

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Solution

The fourth proportional to 17,865.20, 24,653 and 9,906.86 is: 13,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.20 : 24,653 = 9,906.86 : x
  2. Step 2: Convert to fraction form
    17,865.20/24,653 = 9,906.86/x
  3. Step 3: Cross multiply
    17,865.20x = 24,653 × 9,906.86
  4. Step 4: Simplify right side
    17,865.20x = 244,233,819.58
  5. Step 5: Solve for x
    x = 244,233,819.58/17,865.20
  6. Step 6: Final answer
    x = 13,670.93

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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.