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Finding the Fourth Proportional to 15,220.25, 22,814.98 and 7,311.20

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Solution

The fourth proportional to 15,220.25, 22,814.98 and 7,311.20 is: 10,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,220.25 : 22,814.98 = 7,311.20 : x
  2. Step 2: Convert to fraction form
    15,220.25/22,814.98 = 7,311.20/x
  3. Step 3: Cross multiply
    15,220.25x = 22,814.98 × 7,311.20
  4. Step 4: Simplify right side
    15,220.25x = 166,804,920.54
  5. Step 5: Solve for x
    x = 166,804,920.54/15,220.25
  6. Step 6: Final answer
    x = 10,959.41

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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.