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Finding the Fourth Proportional to 20,140.53, 30,212.42 and 6,813.41

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Solution

The fourth proportional to 20,140.53, 30,212.42 and 6,813.41 is: 10,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.53 : 30,212.42 = 6,813.41 : x
  2. Step 2: Convert to fraction form
    20,140.53/30,212.42 = 6,813.41/x
  3. Step 3: Cross multiply
    20,140.53x = 30,212.42 × 6,813.41
  4. Step 4: Simplify right side
    20,140.53x = 205,849,419.42
  5. Step 5: Solve for x
    x = 205,849,419.42/20,140.53
  6. Step 6: Final answer
    x = 10,220.66

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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.