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Finding the Fourth Proportional to 13,406.85, 20,113.11 and 4,047.57

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Solution

The fourth proportional to 13,406.85, 20,113.11 and 4,047.57 is: 6,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.85 : 20,113.11 = 4,047.57 : x
  2. Step 2: Convert to fraction form
    13,406.85/20,113.11 = 4,047.57/x
  3. Step 3: Cross multiply
    13,406.85x = 20,113.11 × 4,047.57
  4. Step 4: Simplify right side
    13,406.85x = 81,409,220.64
  5. Step 5: Solve for x
    x = 81,409,220.64/13,406.85
  6. Step 6: Final answer
    x = 6,072.21

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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.