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Finding the Fourth Proportional to 18,509.40, 27,756 and 5,361.48

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Solution

The fourth proportional to 18,509.40, 27,756 and 5,361.48 is: 8,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.40 : 27,756 = 5,361.48 : x
  2. Step 2: Convert to fraction form
    18,509.40/27,756 = 5,361.48/x
  3. Step 3: Cross multiply
    18,509.40x = 27,756 × 5,361.48
  4. Step 4: Simplify right side
    18,509.40x = 148,813,238.88
  5. Step 5: Solve for x
    x = 148,813,238.88/18,509.40
  6. Step 6: Final answer
    x = 8,039.87

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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.