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Finding the Fourth Proportional to 12,533.70, 18,764.10 and 7,600.80

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Solution

The fourth proportional to 12,533.70, 18,764.10 and 7,600.80 is: 11,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.70 : 18,764.10 = 7,600.80 : x
  2. Step 2: Convert to fraction form
    12,533.70/18,764.10 = 7,600.80/x
  3. Step 3: Cross multiply
    12,533.70x = 18,764.10 × 7,600.80
  4. Step 4: Simplify right side
    12,533.70x = 142,622,171.28
  5. Step 5: Solve for x
    x = 142,622,171.28/12,533.70
  6. Step 6: Final answer
    x = 11,379.10

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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.