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Finding the Fourth Proportional to 20,212.98, 30,315.86 and 7,069.12

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Solution

The fourth proportional to 20,212.98, 30,315.86 and 7,069.12 is: 10,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.98 : 30,315.86 = 7,069.12 : x
  2. Step 2: Convert to fraction form
    20,212.98/30,315.86 = 7,069.12/x
  3. Step 3: Cross multiply
    20,212.98x = 30,315.86 × 7,069.12
  4. Step 4: Simplify right side
    20,212.98x = 214,306,452.24
  5. Step 5: Solve for x
    x = 214,306,452.24/20,212.98
  6. Step 6: Final answer
    x = 10,602.42

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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.