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Finding the Fourth Proportional to 12,213.99, 18,308.16 and 5,192.37

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Solution

The fourth proportional to 12,213.99, 18,308.16 and 5,192.37 is: 7,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.99 : 18,308.16 = 5,192.37 : x
  2. Step 2: Convert to fraction form
    12,213.99/18,308.16 = 5,192.37/x
  3. Step 3: Cross multiply
    12,213.99x = 18,308.16 × 5,192.37
  4. Step 4: Simplify right side
    12,213.99x = 95,062,740.74
  5. Step 5: Solve for x
    x = 95,062,740.74/12,213.99
  6. Step 6: Final answer
    x = 7,783.10

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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.