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Finding the Fourth Proportional to 12,533.25, 18,798.30 and 4,099.05

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Solution

The fourth proportional to 12,533.25, 18,798.30 and 4,099.05 is: 6,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.25 : 18,798.30 = 4,099.05 : x
  2. Step 2: Convert to fraction form
    12,533.25/18,798.30 = 4,099.05/x
  3. Step 3: Cross multiply
    12,533.25x = 18,798.30 × 4,099.05
  4. Step 4: Simplify right side
    12,533.25x = 77,055,171.62
  5. Step 5: Solve for x
    x = 77,055,171.62/12,533.25
  6. Step 6: Final answer
    x = 6,148.06

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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.