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Finding the Fourth Proportional to 22,476.76, 33,698.50 and 10,778.84

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Solution

The fourth proportional to 22,476.76, 33,698.50 and 10,778.84 is: 16,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.76 : 33,698.50 = 10,778.84 : x
  2. Step 2: Convert to fraction form
    22,476.76/33,698.50 = 10,778.84/x
  3. Step 3: Cross multiply
    22,476.76x = 33,698.50 × 10,778.84
  4. Step 4: Simplify right side
    22,476.76x = 363,230,739.74
  5. Step 5: Solve for x
    x = 363,230,739.74/22,476.76
  6. Step 6: Final answer
    x = 16,160.28

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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.