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Finding the Fourth Proportional to 16,193.77, 24,269.62 and 7,302.57

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Solution

The fourth proportional to 16,193.77, 24,269.62 and 7,302.57 is: 10,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.77 : 24,269.62 = 7,302.57 : x
  2. Step 2: Convert to fraction form
    16,193.77/24,269.62 = 7,302.57/x
  3. Step 3: Cross multiply
    16,193.77x = 24,269.62 × 7,302.57
  4. Step 4: Simplify right side
    16,193.77x = 177,230,562.41
  5. Step 5: Solve for x
    x = 177,230,562.41/16,193.77
  6. Step 6: Final answer
    x = 10,944.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.