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Finding the Fourth Proportional to 22,309.50, 33,438.33 and 9,145.92

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Solution

The fourth proportional to 22,309.50, 33,438.33 and 9,145.92 is: 13,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.50 : 33,438.33 = 9,145.92 : x
  2. Step 2: Convert to fraction form
    22,309.50/33,438.33 = 9,145.92/x
  3. Step 3: Cross multiply
    22,309.50x = 33,438.33 × 9,145.92
  4. Step 4: Simplify right side
    22,309.50x = 305,824,291.11
  5. Step 5: Solve for x
    x = 305,824,291.11/22,309.50
  6. Step 6: Final answer
    x = 13,708.25

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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.