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Finding the Fourth Proportional to 13,049.58, 19,600.56 and 7,794.84

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Solution

The fourth proportional to 13,049.58, 19,600.56 and 7,794.84 is: 11,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.58 : 19,600.56 = 7,794.84 : x
  2. Step 2: Convert to fraction form
    13,049.58/19,600.56 = 7,794.84/x
  3. Step 3: Cross multiply
    13,049.58x = 19,600.56 × 7,794.84
  4. Step 4: Simplify right side
    13,049.58x = 152,783,229.11
  5. Step 5: Solve for x
    x = 152,783,229.11/13,049.58
  6. Step 6: Final answer
    x = 11,707.90

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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.