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Finding the Fourth Proportional to 12,192.68, 18,279.02 and 7,809

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Solution

The fourth proportional to 12,192.68, 18,279.02 and 7,809 is: 11,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.68 : 18,279.02 = 7,809 : x
  2. Step 2: Convert to fraction form
    12,192.68/18,279.02 = 7,809/x
  3. Step 3: Cross multiply
    12,192.68x = 18,279.02 × 7,809
  4. Step 4: Simplify right side
    12,192.68x = 142,740,867.18
  5. Step 5: Solve for x
    x = 142,740,867.18/12,192.68
  6. Step 6: Final answer
    x = 11,707.10

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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.