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Finding the Fourth Proportional to 20,509.80, 30,764.61 and 5,718.72

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Solution

The fourth proportional to 20,509.80, 30,764.61 and 5,718.72 is: 8,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.80 : 30,764.61 = 5,718.72 : x
  2. Step 2: Convert to fraction form
    20,509.80/30,764.61 = 5,718.72/x
  3. Step 3: Cross multiply
    20,509.80x = 30,764.61 × 5,718.72
  4. Step 4: Simplify right side
    20,509.80x = 175,934,190.50
  5. Step 5: Solve for x
    x = 175,934,190.50/20,509.80
  6. Step 6: Final answer
    x = 8,578.05

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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.