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Finding the Fourth Proportional to 16,288.50, 22,467.88 and 12,505.90

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Solution

The fourth proportional to 16,288.50, 22,467.88 and 12,505.90 is: 17,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.50 : 22,467.88 = 12,505.90 : x
  2. Step 2: Convert to fraction form
    16,288.50/22,467.88 = 12,505.90/x
  3. Step 3: Cross multiply
    16,288.50x = 22,467.88 × 12,505.90
  4. Step 4: Simplify right side
    16,288.50x = 280,981,060.49
  5. Step 5: Solve for x
    x = 280,981,060.49/16,288.50
  6. Step 6: Final answer
    x = 17,250.27

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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.