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Finding the Fourth Proportional to 12,208.57, 18,313.77 and 5,187.80

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Solution

The fourth proportional to 12,208.57, 18,313.77 and 5,187.80 is: 7,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.57 : 18,313.77 = 5,187.80 : x
  2. Step 2: Convert to fraction form
    12,208.57/18,313.77 = 5,187.80/x
  3. Step 3: Cross multiply
    12,208.57x = 18,313.77 × 5,187.80
  4. Step 4: Simplify right side
    12,208.57x = 95,008,071.47
  5. Step 5: Solve for x
    x = 95,008,071.47/12,208.57
  6. Step 6: Final answer
    x = 7,782.08

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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.