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Finding the Fourth Proportional to 22,122.75, 30,529.40 and 12,186.75

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Solution

The fourth proportional to 22,122.75, 30,529.40 and 12,186.75 is: 16,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.75 : 30,529.40 = 12,186.75 : x
  2. Step 2: Convert to fraction form
    22,122.75/30,529.40 = 12,186.75/x
  3. Step 3: Cross multiply
    22,122.75x = 30,529.40 × 12,186.75
  4. Step 4: Simplify right side
    22,122.75x = 372,054,165.45
  5. Step 5: Solve for x
    x = 372,054,165.45/22,122.75
  6. Step 6: Final answer
    x = 16,817.72

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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.