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Finding the Fourth Proportional to 15,415.82, 21,273.88 and 8,342.24

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Solution

The fourth proportional to 15,415.82, 21,273.88 and 8,342.24 is: 11,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.82 : 21,273.88 = 8,342.24 : x
  2. Step 2: Convert to fraction form
    15,415.82/21,273.88 = 8,342.24/x
  3. Step 3: Cross multiply
    15,415.82x = 21,273.88 × 8,342.24
  4. Step 4: Simplify right side
    15,415.82x = 177,471,812.69
  5. Step 5: Solve for x
    x = 177,471,812.69/15,415.82
  6. Step 6: Final answer
    x = 11,512.32

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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.