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Finding the Fourth Proportional to 17,949.71, 24,769.94 and 9,991.77

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Solution

The fourth proportional to 17,949.71, 24,769.94 and 9,991.77 is: 13,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.71 : 24,769.94 = 9,991.77 : x
  2. Step 2: Convert to fraction form
    17,949.71/24,769.94 = 9,991.77/x
  3. Step 3: Cross multiply
    17,949.71x = 24,769.94 × 9,991.77
  4. Step 4: Simplify right side
    17,949.71x = 247,495,400.55
  5. Step 5: Solve for x
    x = 247,495,400.55/17,949.71
  6. Step 6: Final answer
    x = 13,788.27

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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.