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Finding the Fourth Proportional to 13,499.01, 20,249 and 3,638.53

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Solution

The fourth proportional to 13,499.01, 20,249 and 3,638.53 is: 5,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.01 : 20,249 = 3,638.53 : x
  2. Step 2: Convert to fraction form
    13,499.01/20,249 = 3,638.53/x
  3. Step 3: Cross multiply
    13,499.01x = 20,249 × 3,638.53
  4. Step 4: Simplify right side
    13,499.01x = 73,676,593.97
  5. Step 5: Solve for x
    x = 73,676,593.97/13,499.01
  6. Step 6: Final answer
    x = 5,457.93

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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.