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Finding the Fourth Proportional to 13,478.00, 20,211.53 and 4,115.81

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Solution

The fourth proportional to 13,478.00, 20,211.53 and 4,115.81 is: 6,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.00 : 20,211.53 = 4,115.81 : x
  2. Step 2: Convert to fraction form
    13,478.00/20,211.53 = 4,115.81/x
  3. Step 3: Cross multiply
    13,478.00x = 20,211.53 × 4,115.81
  4. Step 4: Simplify right side
    13,478.00x = 83,186,847.24
  5. Step 5: Solve for x
    x = 83,186,847.24/13,478.00
  6. Step 6: Final answer
    x = 6,172.05

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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.