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Finding the Fourth Proportional to 13,049.68, 19,574.46 and 4,727.74

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Solution

The fourth proportional to 13,049.68, 19,574.46 and 4,727.74 is: 7,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.68 : 19,574.46 = 4,727.74 : x
  2. Step 2: Convert to fraction form
    13,049.68/19,574.46 = 4,727.74/x
  3. Step 3: Cross multiply
    13,049.68x = 19,574.46 × 4,727.74
  4. Step 4: Simplify right side
    13,049.68x = 92,542,945.70
  5. Step 5: Solve for x
    x = 92,542,945.70/13,049.68
  6. Step 6: Final answer
    x = 7,091.59

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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.