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Finding the Fourth Proportional to 18,533.40, 27,800.10 and 8,142.36

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Solution

The fourth proportional to 18,533.40, 27,800.10 and 8,142.36 is: 12,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.40 : 27,800.10 = 8,142.36 : x
  2. Step 2: Convert to fraction form
    18,533.40/27,800.10 = 8,142.36/x
  3. Step 3: Cross multiply
    18,533.40x = 27,800.10 × 8,142.36
  4. Step 4: Simplify right side
    18,533.40x = 226,358,422.24
  5. Step 5: Solve for x
    x = 226,358,422.24/18,533.40
  6. Step 6: Final answer
    x = 12,213.54

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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.