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Finding the Fourth Proportional to 22,414.95, 33,578.64 and 13,628.07

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Solution

The fourth proportional to 22,414.95, 33,578.64 and 13,628.07 is: 20,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.95 : 33,578.64 = 13,628.07 : x
  2. Step 2: Convert to fraction form
    22,414.95/33,578.64 = 13,628.07/x
  3. Step 3: Cross multiply
    22,414.95x = 33,578.64 × 13,628.07
  4. Step 4: Simplify right side
    22,414.95x = 457,612,056.42
  5. Step 5: Solve for x
    x = 457,612,056.42/22,414.95
  6. Step 6: Final answer
    x = 20,415.48

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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.