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Finding the Fourth Proportional to 22,674.70, 34,006.38 and 9,536.50

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Solution

The fourth proportional to 22,674.70, 34,006.38 and 9,536.50 is: 14,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.70 : 34,006.38 = 9,536.50 : x
  2. Step 2: Convert to fraction form
    22,674.70/34,006.38 = 9,536.50/x
  3. Step 3: Cross multiply
    22,674.70x = 34,006.38 × 9,536.50
  4. Step 4: Simplify right side
    22,674.70x = 324,301,842.87
  5. Step 5: Solve for x
    x = 324,301,842.87/22,674.70
  6. Step 6: Final answer
    x = 14,302.37

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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.