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Finding the Fourth Proportional to 18,202.68, 27,303.84 and 8,339.16

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Solution

The fourth proportional to 18,202.68, 27,303.84 and 8,339.16 is: 12,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.68 : 27,303.84 = 8,339.16 : x
  2. Step 2: Convert to fraction form
    18,202.68/27,303.84 = 8,339.16/x
  3. Step 3: Cross multiply
    18,202.68x = 27,303.84 × 8,339.16
  4. Step 4: Simplify right side
    18,202.68x = 227,691,090.37
  5. Step 5: Solve for x
    x = 227,691,090.37/18,202.68
  6. Step 6: Final answer
    x = 12,508.66

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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.