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Finding the Fourth Proportional to 22,133.70, 33,200.55 and 11,765.70

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Solution

The fourth proportional to 22,133.70, 33,200.55 and 11,765.70 is: 17,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.70 : 33,200.55 = 11,765.70 : x
  2. Step 2: Convert to fraction form
    22,133.70/33,200.55 = 11,765.70/x
  3. Step 3: Cross multiply
    22,133.70x = 33,200.55 × 11,765.70
  4. Step 4: Simplify right side
    22,133.70x = 390,627,711.14
  5. Step 5: Solve for x
    x = 390,627,711.14/22,133.70
  6. Step 6: Final answer
    x = 17,648.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.