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Finding the Fourth Proportional to 22,133.31, 30,543.98 and 12,197.31

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Solution

The fourth proportional to 22,133.31, 30,543.98 and 12,197.31 is: 16,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.31 : 30,543.98 = 12,197.31 : x
  2. Step 2: Convert to fraction form
    22,133.31/30,543.98 = 12,197.31/x
  3. Step 3: Cross multiply
    22,133.31x = 30,543.98 × 12,197.31
  4. Step 4: Simplify right side
    22,133.31x = 372,554,392.69
  5. Step 5: Solve for x
    x = 372,554,392.69/22,133.31
  6. Step 6: Final answer
    x = 16,832.29

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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.