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Finding the Fourth Proportional to 20,225.30, 30,351.61 and 7,077.78

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Solution

The fourth proportional to 20,225.30, 30,351.61 and 7,077.78 is: 10,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.30 : 30,351.61 = 7,077.78 : x
  2. Step 2: Convert to fraction form
    20,225.30/30,351.61 = 7,077.78/x
  3. Step 3: Cross multiply
    20,225.30x = 30,351.61 × 7,077.78
  4. Step 4: Simplify right side
    20,225.30x = 214,822,007.17
  5. Step 5: Solve for x
    x = 214,822,007.17/20,225.30
  6. Step 6: Final answer
    x = 10,621.45

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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.