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Finding the Fourth Proportional to 22,133.57, 30,544.32 and 12,197.57

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Solution

The fourth proportional to 22,133.57, 30,544.32 and 12,197.57 is: 16,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.57 : 30,544.32 = 12,197.57 : x
  2. Step 2: Convert to fraction form
    22,133.57/30,544.32 = 12,197.57/x
  3. Step 3: Cross multiply
    22,133.57x = 30,544.32 × 12,197.57
  4. Step 4: Simplify right side
    22,133.57x = 372,566,267.59
  5. Step 5: Solve for x
    x = 372,566,267.59/22,133.57
  6. Step 6: Final answer
    x = 16,832.64

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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.