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Finding the Fourth Proportional to 22,228, 30,674.64 and 12,292

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Solution

The fourth proportional to 22,228, 30,674.64 and 12,292 is: 16,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228 : 30,674.64 = 12,292 : x
  2. Step 2: Convert to fraction form
    22,228/30,674.64 = 12,292/x
  3. Step 3: Cross multiply
    22,228x = 30,674.64 × 12,292
  4. Step 4: Simplify right side
    22,228x = 377,052,674.88
  5. Step 5: Solve for x
    x = 377,052,674.88/22,228
  6. Step 6: Final answer
    x = 16,962.96

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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.