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Finding the Fourth Proportional to 12,122.98, 18,186.28 and 3,803.74

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Solution

The fourth proportional to 12,122.98, 18,186.28 and 3,803.74 is: 5,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.98 : 18,186.28 = 3,803.74 : x
  2. Step 2: Convert to fraction form
    12,122.98/18,186.28 = 3,803.74/x
  3. Step 3: Cross multiply
    12,122.98x = 18,186.28 × 3,803.74
  4. Step 4: Simplify right side
    12,122.98x = 69,175,880.69
  5. Step 5: Solve for x
    x = 69,175,880.69/12,122.98
  6. Step 6: Final answer
    x = 5,706.18

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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.