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Finding the Fourth Proportional to 16,642.82, 22,967.07 and 9,190.82

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Solution

The fourth proportional to 16,642.82, 22,967.07 and 9,190.82 is: 12,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.82 : 22,967.07 = 9,190.82 : x
  2. Step 2: Convert to fraction form
    16,642.82/22,967.07 = 9,190.82/x
  3. Step 3: Cross multiply
    16,642.82x = 22,967.07 × 9,190.82
  4. Step 4: Simplify right side
    16,642.82x = 211,086,206.30
  5. Step 5: Solve for x
    x = 211,086,206.30/16,642.82
  6. Step 6: Final answer
    x = 12,683.32

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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.