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Finding the Fourth Proportional to 22,586.50, 33,855.45 and 10,089.37

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Solution

The fourth proportional to 22,586.50, 33,855.45 and 10,089.37 is: 15,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.50 : 33,855.45 = 10,089.37 : x
  2. Step 2: Convert to fraction form
    22,586.50/33,855.45 = 10,089.37/x
  3. Step 3: Cross multiply
    22,586.50x = 33,855.45 × 10,089.37
  4. Step 4: Simplify right side
    22,586.50x = 341,580,161.57
  5. Step 5: Solve for x
    x = 341,580,161.57/22,586.50
  6. Step 6: Final answer
    x = 15,123.20

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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.