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Finding the Fourth Proportional to 13,406.88, 20,113.17 and 4,047.60

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Solution

The fourth proportional to 13,406.88, 20,113.17 and 4,047.60 is: 6,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.88 : 20,113.17 = 4,047.60 : x
  2. Step 2: Convert to fraction form
    13,406.88/20,113.17 = 4,047.60/x
  3. Step 3: Cross multiply
    13,406.88x = 20,113.17 × 4,047.60
  4. Step 4: Simplify right side
    13,406.88x = 81,410,066.89
  5. Step 5: Solve for x
    x = 81,410,066.89/13,406.88
  6. Step 6: Final answer
    x = 6,072.26

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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.