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Finding the Fourth Proportional to 12,190.22, 18,292.16 and 12,097.27

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Solution

The fourth proportional to 12,190.22, 18,292.16 and 12,097.27 is: 18,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.22 : 18,292.16 = 12,097.27 : x
  2. Step 2: Convert to fraction form
    12,190.22/18,292.16 = 12,097.27/x
  3. Step 3: Cross multiply
    12,190.22x = 18,292.16 × 12,097.27
  4. Step 4: Simplify right side
    12,190.22x = 221,285,251.51
  5. Step 5: Solve for x
    x = 221,285,251.51/12,190.22
  6. Step 6: Final answer
    x = 18,152.69

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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.