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Finding the Fourth Proportional to 18,361.12, 27,541.76 and 7,267.36

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Solution

The fourth proportional to 18,361.12, 27,541.76 and 7,267.36 is: 10,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.12 : 27,541.76 = 7,267.36 : x
  2. Step 2: Convert to fraction form
    18,361.12/27,541.76 = 7,267.36/x
  3. Step 3: Cross multiply
    18,361.12x = 27,541.76 × 7,267.36
  4. Step 4: Simplify right side
    18,361.12x = 200,155,884.95
  5. Step 5: Solve for x
    x = 200,155,884.95/18,361.12
  6. Step 6: Final answer
    x = 10,901.07

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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.