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Finding the Fourth Proportional to 18,076.50, 27,103.95 and 7,533.81

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Solution

The fourth proportional to 18,076.50, 27,103.95 and 7,533.81 is: 11,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,076.50 : 27,103.95 = 7,533.81 : x
  2. Step 2: Convert to fraction form
    18,076.50/27,103.95 = 7,533.81/x
  3. Step 3: Cross multiply
    18,076.50x = 27,103.95 × 7,533.81
  4. Step 4: Simplify right side
    18,076.50x = 204,196,009.55
  5. Step 5: Solve for x
    x = 204,196,009.55/18,076.50
  6. Step 6: Final answer
    x = 11,296.21

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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.