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Finding the Fourth Proportional to 20,510.08, 30,766.86 and 5,719.02

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Solution

The fourth proportional to 20,510.08, 30,766.86 and 5,719.02 is: 8,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.08 : 30,766.86 = 5,719.02 : x
  2. Step 2: Convert to fraction form
    20,510.08/30,766.86 = 5,719.02/x
  3. Step 3: Cross multiply
    20,510.08x = 30,766.86 × 5,719.02
  4. Step 4: Simplify right side
    20,510.08x = 175,956,287.68
  5. Step 5: Solve for x
    x = 175,956,287.68/20,510.08
  6. Step 6: Final answer
    x = 8,579.02

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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.