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Finding the Fourth Proportional to 12,777.09, 17,632.22 and 7,188.09

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Solution

The fourth proportional to 12,777.09, 17,632.22 and 7,188.09 is: 9,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.09 : 17,632.22 = 7,188.09 : x
  2. Step 2: Convert to fraction form
    12,777.09/17,632.22 = 7,188.09/x
  3. Step 3: Cross multiply
    12,777.09x = 17,632.22 × 7,188.09
  4. Step 4: Simplify right side
    12,777.09x = 126,741,948.32
  5. Step 5: Solve for x
    x = 126,741,948.32/12,777.09
  6. Step 6: Final answer
    x = 9,919.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.