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Finding the Fourth Proportional to 22,294, 30,766.46 and 12,223.26

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Solution

The fourth proportional to 22,294, 30,766.46 and 12,223.26 is: 16,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294 : 30,766.46 = 12,223.26 : x
  2. Step 2: Convert to fraction form
    22,294/30,766.46 = 12,223.26/x
  3. Step 3: Cross multiply
    22,294x = 30,766.46 × 12,223.26
  4. Step 4: Simplify right side
    22,294x = 376,066,439.86
  5. Step 5: Solve for x
    x = 376,066,439.86/22,294
  6. Step 6: Final answer
    x = 16,868.50

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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.