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Finding the Fourth Proportional to 19,222.50, 28,833.78 and 5,371.50

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Solution

The fourth proportional to 19,222.50, 28,833.78 and 5,371.50 is: 8,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.50 : 28,833.78 = 5,371.50 : x
  2. Step 2: Convert to fraction form
    19,222.50/28,833.78 = 5,371.50/x
  3. Step 3: Cross multiply
    19,222.50x = 28,833.78 × 5,371.50
  4. Step 4: Simplify right side
    19,222.50x = 154,880,649.27
  5. Step 5: Solve for x
    x = 154,880,649.27/19,222.50
  6. Step 6: Final answer
    x = 8,057.26

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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.