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Finding the Fourth Proportional to 20,218.82, 30,314.52 and 7,064

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Solution

The fourth proportional to 20,218.82, 30,314.52 and 7,064 is: 10,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.82 : 30,314.52 = 7,064 : x
  2. Step 2: Convert to fraction form
    20,218.82/30,314.52 = 7,064/x
  3. Step 3: Cross multiply
    20,218.82x = 30,314.52 × 7,064
  4. Step 4: Simplify right side
    20,218.82x = 214,141,769.28
  5. Step 5: Solve for x
    x = 214,141,769.28/20,218.82
  6. Step 6: Final answer
    x = 10,591.21

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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.