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Finding the Fourth Proportional to 22,272.57, 33,415.01 and 19,824.50

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Solution

The fourth proportional to 22,272.57, 33,415.01 and 19,824.50 is: 29,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.57 : 33,415.01 = 19,824.50 : x
  2. Step 2: Convert to fraction form
    22,272.57/33,415.01 = 19,824.50/x
  3. Step 3: Cross multiply
    22,272.57x = 33,415.01 × 19,824.50
  4. Step 4: Simplify right side
    22,272.57x = 662,435,680.79
  5. Step 5: Solve for x
    x = 662,435,680.79/22,272.57
  6. Step 6: Final answer
    x = 29,742.22

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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.