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Finding the Fourth Proportional to 22,268.14, 30,730.05 and 12,197.22

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Solution

The fourth proportional to 22,268.14, 30,730.05 and 12,197.22 is: 16,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.14 : 30,730.05 = 12,197.22 : x
  2. Step 2: Convert to fraction form
    22,268.14/30,730.05 = 12,197.22/x
  3. Step 3: Cross multiply
    22,268.14x = 30,730.05 × 12,197.22
  4. Step 4: Simplify right side
    22,268.14x = 374,821,019.48
  5. Step 5: Solve for x
    x = 374,821,019.48/22,268.14
  6. Step 6: Final answer
    x = 16,832.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.