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Finding the Fourth Proportional to 22,585.34, 33,864.87 and 8,546.45

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Solution

The fourth proportional to 22,585.34, 33,864.87 and 8,546.45 is: 12,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.34 : 33,864.87 = 8,546.45 : x
  2. Step 2: Convert to fraction form
    22,585.34/33,864.87 = 8,546.45/x
  3. Step 3: Cross multiply
    22,585.34x = 33,864.87 × 8,546.45
  4. Step 4: Simplify right side
    22,585.34x = 289,424,375.88
  5. Step 5: Solve for x
    x = 289,424,375.88/22,585.34
  6. Step 6: Final answer
    x = 12,814.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.