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Finding the Fourth Proportional to 22,223, 30,666.48 and 12,149.57

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Solution

The fourth proportional to 22,223, 30,666.48 and 12,149.57 is: 16,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223 : 30,666.48 = 12,149.57 : x
  2. Step 2: Convert to fraction form
    22,223/30,666.48 = 12,149.57/x
  3. Step 3: Cross multiply
    22,223x = 30,666.48 × 12,149.57
  4. Step 4: Simplify right side
    22,223x = 372,584,545.41
  5. Step 5: Solve for x
    x = 372,584,545.41/22,223
  6. Step 6: Final answer
    x = 16,765.72

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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.