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Finding the Fourth Proportional to 13,808.24, 19,057.56 and 8,222.48

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Solution

The fourth proportional to 13,808.24, 19,057.56 and 8,222.48 is: 11,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.24 : 19,057.56 = 8,222.48 : x
  2. Step 2: Convert to fraction form
    13,808.24/19,057.56 = 8,222.48/x
  3. Step 3: Cross multiply
    13,808.24x = 19,057.56 × 8,222.48
  4. Step 4: Simplify right side
    13,808.24x = 156,700,405.95
  5. Step 5: Solve for x
    x = 156,700,405.95/13,808.24
  6. Step 6: Final answer
    x = 11,348.33

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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.