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Finding the Fourth Proportional to 22,117.57, 30,522.83 and 12,046.43

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Solution

The fourth proportional to 22,117.57, 30,522.83 and 12,046.43 is: 16,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.57 : 30,522.83 = 12,046.43 : x
  2. Step 2: Convert to fraction form
    22,117.57/30,522.83 = 12,046.43/x
  3. Step 3: Cross multiply
    22,117.57x = 30,522.83 × 12,046.43
  4. Step 4: Simplify right side
    22,117.57x = 367,691,151.07
  5. Step 5: Solve for x
    x = 367,691,151.07/22,117.57
  6. Step 6: Final answer
    x = 16,624.39

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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.