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Finding the Fourth Proportional to 12,105.12, 18,133.20 and 11,097.12

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Solution

The fourth proportional to 12,105.12, 18,133.20 and 11,097.12 is: 16,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.12 : 18,133.20 = 11,097.12 : x
  2. Step 2: Convert to fraction form
    12,105.12/18,133.20 = 11,097.12/x
  3. Step 3: Cross multiply
    12,105.12x = 18,133.20 × 11,097.12
  4. Step 4: Simplify right side
    12,105.12x = 201,226,296.38
  5. Step 5: Solve for x
    x = 201,226,296.38/12,105.12
  6. Step 6: Final answer
    x = 16,623.24

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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.