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Finding the Fourth Proportional to 12,361.14, 18,549.81 and 11,541.02

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Solution

The fourth proportional to 12,361.14, 18,549.81 and 11,541.02 is: 17,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.14 : 18,549.81 = 11,541.02 : x
  2. Step 2: Convert to fraction form
    12,361.14/18,549.81 = 11,541.02/x
  3. Step 3: Cross multiply
    12,361.14x = 18,549.81 × 11,541.02
  4. Step 4: Simplify right side
    12,361.14x = 214,083,635.46
  5. Step 5: Solve for x
    x = 214,083,635.46/12,361.14
  6. Step 6: Final answer
    x = 17,319.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.