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Finding the Fourth Proportional to 20,220.72, 30,311.64 and 6,360

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Solution

The fourth proportional to 20,220.72, 30,311.64 and 6,360 is: 9,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220.72 : 30,311.64 = 6,360 : x
  2. Step 2: Convert to fraction form
    20,220.72/30,311.64 = 6,360/x
  3. Step 3: Cross multiply
    20,220.72x = 30,311.64 × 6,360
  4. Step 4: Simplify right side
    20,220.72x = 192,782,030.40
  5. Step 5: Solve for x
    x = 192,782,030.40/20,220.72
  6. Step 6: Final answer
    x = 9,533.89

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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.