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Finding the Fourth Proportional to 16,563.20, 22,834.84 and 11,248.80

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Solution

The fourth proportional to 16,563.20, 22,834.84 and 11,248.80 is: 15,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.20 : 22,834.84 = 11,248.80 : x
  2. Step 2: Convert to fraction form
    16,563.20/22,834.84 = 11,248.80/x
  3. Step 3: Cross multiply
    16,563.20x = 22,834.84 × 11,248.80
  4. Step 4: Simplify right side
    16,563.20x = 256,864,548.19
  5. Step 5: Solve for x
    x = 256,864,548.19/16,563.20
  6. Step 6: Final answer
    x = 15,508.15

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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.