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Finding the Fourth Proportional to 16,086.13, 22,198.86 and 9,012.60

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Solution

The fourth proportional to 16,086.13, 22,198.86 and 9,012.60 is: 12,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.13 : 22,198.86 = 9,012.60 : x
  2. Step 2: Convert to fraction form
    16,086.13/22,198.86 = 9,012.60/x
  3. Step 3: Cross multiply
    16,086.13x = 22,198.86 × 9,012.60
  4. Step 4: Simplify right side
    16,086.13x = 200,069,445.64
  5. Step 5: Solve for x
    x = 200,069,445.64/16,086.13
  6. Step 6: Final answer
    x = 12,437.39

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1.5x scale

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.