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Finding the Fourth Proportional to 16,884.96, 25,340.88 and 9,496.80

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Solution

The fourth proportional to 16,884.96, 25,340.88 and 9,496.80 is: 14,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.96 : 25,340.88 = 9,496.80 : x
  2. Step 2: Convert to fraction form
    16,884.96/25,340.88 = 9,496.80/x
  3. Step 3: Cross multiply
    16,884.96x = 25,340.88 × 9,496.80
  4. Step 4: Simplify right side
    16,884.96x = 240,657,269.18
  5. Step 5: Solve for x
    x = 240,657,269.18/16,884.96
  6. Step 6: Final answer
    x = 14,252.76

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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.