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Finding the Fourth Proportional to 22,419.50, 33,609.20 and 9,263.48

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Solution

The fourth proportional to 22,419.50, 33,609.20 and 9,263.48 is: 13,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.50 : 33,609.20 = 9,263.48 : x
  2. Step 2: Convert to fraction form
    22,419.50/33,609.20 = 9,263.48/x
  3. Step 3: Cross multiply
    22,419.50x = 33,609.20 × 9,263.48
  4. Step 4: Simplify right side
    22,419.50x = 311,337,937.65
  5. Step 5: Solve for x
    x = 311,337,937.65/22,419.50
  6. Step 6: Final answer
    x = 13,886.93

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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.