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Finding the Fourth Proportional to 22,619.62, 33,945.84 and 12,778.12

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Solution

The fourth proportional to 22,619.62, 33,945.84 and 12,778.12 is: 19,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.62 : 33,945.84 = 12,778.12 : x
  2. Step 2: Convert to fraction form
    22,619.62/33,945.84 = 12,778.12/x
  3. Step 3: Cross multiply
    22,619.62x = 33,945.84 × 12,778.12
  4. Step 4: Simplify right side
    22,619.62x = 433,764,017.02
  5. Step 5: Solve for x
    x = 433,764,017.02/22,619.62
  6. Step 6: Final answer
    x = 19,176.45

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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.