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Finding the Fourth Proportional to 12,192.98, 16,820.13 and 7,709.18

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Solution

The fourth proportional to 12,192.98, 16,820.13 and 7,709.18 is: 10,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.98 : 16,820.13 = 7,709.18 : x
  2. Step 2: Convert to fraction form
    12,192.98/16,820.13 = 7,709.18/x
  3. Step 3: Cross multiply
    12,192.98x = 16,820.13 × 7,709.18
  4. Step 4: Simplify right side
    12,192.98x = 129,669,409.79
  5. Step 5: Solve for x
    x = 129,669,409.79/12,192.98
  6. Step 6: Final answer
    x = 10,634.76

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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.