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Finding the Fourth Proportional to 13,731.46, 20,579.15 and 7,811.06

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Solution

The fourth proportional to 13,731.46, 20,579.15 and 7,811.06 is: 11,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.46 : 20,579.15 = 7,811.06 : x
  2. Step 2: Convert to fraction form
    13,731.46/20,579.15 = 7,811.06/x
  3. Step 3: Cross multiply
    13,731.46x = 20,579.15 × 7,811.06
  4. Step 4: Simplify right side
    13,731.46x = 160,744,892.03
  5. Step 5: Solve for x
    x = 160,744,892.03/13,731.46
  6. Step 6: Final answer
    x = 11,706.32

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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.