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Finding the Fourth Proportional to 22,198.50, 30,633.93 and 12,262.50

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Solution

The fourth proportional to 22,198.50, 30,633.93 and 12,262.50 is: 16,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.50 : 30,633.93 = 12,262.50 : x
  2. Step 2: Convert to fraction form
    22,198.50/30,633.93 = 12,262.50/x
  3. Step 3: Cross multiply
    22,198.50x = 30,633.93 × 12,262.50
  4. Step 4: Simplify right side
    22,198.50x = 375,648,566.63
  5. Step 5: Solve for x
    x = 375,648,566.63/22,198.50
  6. Step 6: Final answer
    x = 16,922.25

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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.