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Finding the Fourth Proportional to 17,948.72, 24,770.06 and 9,991.46

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Solution

The fourth proportional to 17,948.72, 24,770.06 and 9,991.46 is: 13,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,948.72 : 24,770.06 = 9,991.46 : x
  2. Step 2: Convert to fraction form
    17,948.72/24,770.06 = 9,991.46/x
  3. Step 3: Cross multiply
    17,948.72x = 24,770.06 × 9,991.46
  4. Step 4: Simplify right side
    17,948.72x = 247,489,150.59
  5. Step 5: Solve for x
    x = 247,489,150.59/17,948.72
  6. Step 6: Final answer
    x = 13,788.68

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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.