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Finding the Fourth Proportional to 12,194.98, 16,822.89 and 7,711.18

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Solution

The fourth proportional to 12,194.98, 16,822.89 and 7,711.18 is: 10,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.98 : 16,822.89 = 7,711.18 : x
  2. Step 2: Convert to fraction form
    12,194.98/16,822.89 = 7,711.18/x
  3. Step 3: Cross multiply
    12,194.98x = 16,822.89 × 7,711.18
  4. Step 4: Simplify right side
    12,194.98x = 129,724,332.91
  5. Step 5: Solve for x
    x = 129,724,332.91/12,194.98
  6. Step 6: Final answer
    x = 10,637.52

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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.