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Finding the Fourth Proportional to 12,294.66, 18,426.36 and 10,706.94

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Solution

The fourth proportional to 12,294.66, 18,426.36 and 10,706.94 is: 16,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.66 : 18,426.36 = 10,706.94 : x
  2. Step 2: Convert to fraction form
    12,294.66/18,426.36 = 10,706.94/x
  3. Step 3: Cross multiply
    12,294.66x = 18,426.36 × 10,706.94
  4. Step 4: Simplify right side
    12,294.66x = 197,289,930.94
  5. Step 5: Solve for x
    x = 197,289,930.94/12,294.66
  6. Step 6: Final answer
    x = 16,046.80

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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.