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Finding the Fourth Proportional to 13,420.46, 20,136.09 and 6,019.76

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Solution

The fourth proportional to 13,420.46, 20,136.09 and 6,019.76 is: 9,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.46 : 20,136.09 = 6,019.76 : x
  2. Step 2: Convert to fraction form
    13,420.46/20,136.09 = 6,019.76/x
  3. Step 3: Cross multiply
    13,420.46x = 20,136.09 × 6,019.76
  4. Step 4: Simplify right side
    13,420.46x = 121,214,429.14
  5. Step 5: Solve for x
    x = 121,214,429.14/13,420.46
  6. Step 6: Final answer
    x = 9,032.06

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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.