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Finding the Fourth Proportional to 22,481.76, 33,706 and 10,783.84

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Solution

The fourth proportional to 22,481.76, 33,706 and 10,783.84 is: 16,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.76 : 33,706 = 10,783.84 : x
  2. Step 2: Convert to fraction form
    22,481.76/33,706 = 10,783.84/x
  3. Step 3: Cross multiply
    22,481.76x = 33,706 × 10,783.84
  4. Step 4: Simplify right side
    22,481.76x = 363,480,111.04
  5. Step 5: Solve for x
    x = 363,480,111.04/22,481.76
  6. Step 6: Final answer
    x = 16,167.78

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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.