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Finding the Fourth Proportional to 22,265.70, 33,386.40 and 9,103.20

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Solution

The fourth proportional to 22,265.70, 33,386.40 and 9,103.20 is: 13,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.70 : 33,386.40 = 9,103.20 : x
  2. Step 2: Convert to fraction form
    22,265.70/33,386.40 = 9,103.20/x
  3. Step 3: Cross multiply
    22,265.70x = 33,386.40 × 9,103.20
  4. Step 4: Simplify right side
    22,265.70x = 303,923,076.48
  5. Step 5: Solve for x
    x = 303,923,076.48/22,265.70
  6. Step 6: Final answer
    x = 13,649.83

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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.