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Finding the Fourth Proportional to 22,274.60, 30,739 and 12,203.42

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Solution

The fourth proportional to 22,274.60, 30,739 and 12,203.42 is: 16,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.60 : 30,739 = 12,203.42 : x
  2. Step 2: Convert to fraction form
    22,274.60/30,739 = 12,203.42/x
  3. Step 3: Cross multiply
    22,274.60x = 30,739 × 12,203.42
  4. Step 4: Simplify right side
    22,274.60x = 375,120,927.38
  5. Step 5: Solve for x
    x = 375,120,927.38/22,274.60
  6. Step 6: Final answer
    x = 16,840.75

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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.