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Finding the Fourth Proportional to 12,201.74, 18,290.04 and 4,803.20

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Solution

The fourth proportional to 12,201.74, 18,290.04 and 4,803.20 is: 7,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.74 : 18,290.04 = 4,803.20 : x
  2. Step 2: Convert to fraction form
    12,201.74/18,290.04 = 4,803.20/x
  3. Step 3: Cross multiply
    12,201.74x = 18,290.04 × 4,803.20
  4. Step 4: Simplify right side
    12,201.74x = 87,850,720.13
  5. Step 5: Solve for x
    x = 87,850,720.13/12,201.74
  6. Step 6: Final answer
    x = 7,199.85

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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.