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Finding the Fourth Proportional to 13,734.66, 18,956.62 and 8,148.90

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Solution

The fourth proportional to 13,734.66, 18,956.62 and 8,148.90 is: 11,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.66 : 18,956.62 = 8,148.90 : x
  2. Step 2: Convert to fraction form
    13,734.66/18,956.62 = 8,148.90/x
  3. Step 3: Cross multiply
    13,734.66x = 18,956.62 × 8,148.90
  4. Step 4: Simplify right side
    13,734.66x = 154,475,485.56
  5. Step 5: Solve for x
    x = 154,475,485.56/13,734.66
  6. Step 6: Final answer
    x = 11,247.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.