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Finding the Fourth Proportional to 15,414.75, 21,272.36 and 8,341.22

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Solution

The fourth proportional to 15,414.75, 21,272.36 and 8,341.22 is: 11,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.75 : 21,272.36 = 8,341.22 : x
  2. Step 2: Convert to fraction form
    15,414.75/21,272.36 = 8,341.22/x
  3. Step 3: Cross multiply
    15,414.75x = 21,272.36 × 8,341.22
  4. Step 4: Simplify right side
    15,414.75x = 177,437,446.15
  5. Step 5: Solve for x
    x = 177,437,446.15/15,414.75
  6. Step 6: Final answer
    x = 11,510.89

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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.