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Finding the Fourth Proportional to 14,791.44, 22,193.28 and 8,222.16

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Solution

The fourth proportional to 14,791.44, 22,193.28 and 8,222.16 is: 12,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.44 : 22,193.28 = 8,222.16 : x
  2. Step 2: Convert to fraction form
    14,791.44/22,193.28 = 8,222.16/x
  3. Step 3: Cross multiply
    14,791.44x = 22,193.28 × 8,222.16
  4. Step 4: Simplify right side
    14,791.44x = 182,476,699.08
  5. Step 5: Solve for x
    x = 182,476,699.08/14,791.44
  6. Step 6: Final answer
    x = 12,336.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.