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Finding the Fourth Proportional to 12,288.68, 18,434.22 and 12,098.12

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Solution

The fourth proportional to 12,288.68, 18,434.22 and 12,098.12 is: 18,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.68 : 18,434.22 = 12,098.12 : x
  2. Step 2: Convert to fraction form
    12,288.68/18,434.22 = 12,098.12/x
  3. Step 3: Cross multiply
    12,288.68x = 18,434.22 × 12,098.12
  4. Step 4: Simplify right side
    12,288.68x = 223,019,405.67
  5. Step 5: Solve for x
    x = 223,019,405.67/12,288.68
  6. Step 6: Final answer
    x = 18,148.36

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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.