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Finding the Fourth Proportional to 12,208.72, 18,314.16 and 4,417.60

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Solution

The fourth proportional to 12,208.72, 18,314.16 and 4,417.60 is: 6,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.72 : 18,314.16 = 4,417.60 : x
  2. Step 2: Convert to fraction form
    12,208.72/18,314.16 = 4,417.60/x
  3. Step 3: Cross multiply
    12,208.72x = 18,314.16 × 4,417.60
  4. Step 4: Simplify right side
    12,208.72x = 80,904,633.22
  5. Step 5: Solve for x
    x = 80,904,633.22/12,208.72
  6. Step 6: Final answer
    x = 6,626.79

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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.