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Finding the Fourth Proportional to 13,022.76, 19,524.86 and 6,093.48

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Solution

The fourth proportional to 13,022.76, 19,524.86 and 6,093.48 is: 9,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.76 : 19,524.86 = 6,093.48 : x
  2. Step 2: Convert to fraction form
    13,022.76/19,524.86 = 6,093.48/x
  3. Step 3: Cross multiply
    13,022.76x = 19,524.86 × 6,093.48
  4. Step 4: Simplify right side
    13,022.76x = 118,974,343.91
  5. Step 5: Solve for x
    x = 118,974,343.91/13,022.76
  6. Step 6: Final answer
    x = 9,135.88

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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.