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Finding the Fourth Proportional to 15,415.75, 21,273.74 and 8,342.22

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Solution

The fourth proportional to 15,415.75, 21,273.74 and 8,342.22 is: 11,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.75 : 21,273.74 = 8,342.22 : x
  2. Step 2: Convert to fraction form
    15,415.75/21,273.74 = 8,342.22/x
  3. Step 3: Cross multiply
    15,415.75x = 21,273.74 × 8,342.22
  4. Step 4: Simplify right side
    15,415.75x = 177,470,219.30
  5. Step 5: Solve for x
    x = 177,470,219.30/15,415.75
  6. Step 6: Final answer
    x = 11,512.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.