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Finding the Fourth Proportional to 17,847.60, 24,628.34 and 9,889.66

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Solution

The fourth proportional to 17,847.60, 24,628.34 and 9,889.66 is: 13,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.60 : 24,628.34 = 9,889.66 : x
  2. Step 2: Convert to fraction form
    17,847.60/24,628.34 = 9,889.66/x
  3. Step 3: Cross multiply
    17,847.60x = 24,628.34 × 9,889.66
  4. Step 4: Simplify right side
    17,847.60x = 243,565,736.37
  5. Step 5: Solve for x
    x = 243,565,736.37/17,847.60
  6. Step 6: Final answer
    x = 13,646.97

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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.