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Finding the Fourth Proportional to 12,202.74, 18,291.54 and 4,804.20

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Solution

The fourth proportional to 12,202.74, 18,291.54 and 4,804.20 is: 7,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.74 : 18,291.54 = 4,804.20 : x
  2. Step 2: Convert to fraction form
    12,202.74/18,291.54 = 4,804.20/x
  3. Step 3: Cross multiply
    12,202.74x = 18,291.54 × 4,804.20
  4. Step 4: Simplify right side
    12,202.74x = 87,876,216.47
  5. Step 5: Solve for x
    x = 87,876,216.47/12,202.74
  6. Step 6: Final answer
    x = 7,201.35

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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.