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Finding the Fourth Proportional to 20,225.65, 30,351.97 and 7,078.02

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Solution

The fourth proportional to 20,225.65, 30,351.97 and 7,078.02 is: 10,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.65 : 30,351.97 = 7,078.02 : x
  2. Step 2: Convert to fraction form
    20,225.65/30,351.97 = 7,078.02/x
  3. Step 3: Cross multiply
    20,225.65x = 30,351.97 × 7,078.02
  4. Step 4: Simplify right side
    20,225.65x = 214,831,878.75
  5. Step 5: Solve for x
    x = 214,831,878.75/20,225.65
  6. Step 6: Final answer
    x = 10,621.75

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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.