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Finding the Fourth Proportional to 18,098.64, 27,131.76 and 6,410.34

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Solution

The fourth proportional to 18,098.64, 27,131.76 and 6,410.34 is: 9,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.64 : 27,131.76 = 6,410.34 : x
  2. Step 2: Convert to fraction form
    18,098.64/27,131.76 = 6,410.34/x
  3. Step 3: Cross multiply
    18,098.64x = 27,131.76 × 6,410.34
  4. Step 4: Simplify right side
    18,098.64x = 173,923,806.40
  5. Step 5: Solve for x
    x = 173,923,806.40/18,098.64
  6. Step 6: Final answer
    x = 9,609.77

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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.