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Finding the Fourth Proportional to 22,093, 30,491.46 and 12,535.24

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Solution

The fourth proportional to 22,093, 30,491.46 and 12,535.24 is: 17,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093 : 30,491.46 = 12,535.24 : x
  2. Step 2: Convert to fraction form
    22,093/30,491.46 = 12,535.24/x
  3. Step 3: Cross multiply
    22,093x = 30,491.46 × 12,535.24
  4. Step 4: Simplify right side
    22,093x = 382,217,769.05
  5. Step 5: Solve for x
    x = 382,217,769.05/22,093
  6. Step 6: Final answer
    x = 17,300.40

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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.