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Finding the Fourth Proportional to 16,350, 22,563 and 8,898

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Solution

The fourth proportional to 16,350, 22,563 and 8,898 is: 12,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350 : 22,563 = 8,898 : x
  2. Step 2: Convert to fraction form
    16,350/22,563 = 8,898/x
  3. Step 3: Cross multiply
    16,350x = 22,563 × 8,898
  4. Step 4: Simplify right side
    16,350x = 200,765,574
  5. Step 5: Solve for x
    x = 200,765,574/16,350
  6. Step 6: Final answer
    x = 12,279.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.