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Finding the Fourth Proportional to 16,075, 22,183.50 and 10,486

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Solution

The fourth proportional to 16,075, 22,183.50 and 10,486 is: 14,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075 : 22,183.50 = 10,486 : x
  2. Step 2: Convert to fraction form
    16,075/22,183.50 = 10,486/x
  3. Step 3: Cross multiply
    16,075x = 22,183.50 × 10,486
  4. Step 4: Simplify right side
    16,075x = 232,616,181
  5. Step 5: Solve for x
    x = 232,616,181/16,075
  6. Step 6: Final answer
    x = 14,470.68

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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.