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Finding the Fourth Proportional to 14,706.42, 20,296.54 and 8,418.66

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Solution

The fourth proportional to 14,706.42, 20,296.54 and 8,418.66 is: 11,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.42 : 20,296.54 = 8,418.66 : x
  2. Step 2: Convert to fraction form
    14,706.42/20,296.54 = 8,418.66/x
  3. Step 3: Cross multiply
    14,706.42x = 20,296.54 × 8,418.66
  4. Step 4: Simplify right side
    14,706.42x = 170,869,669.44
  5. Step 5: Solve for x
    x = 170,869,669.44/14,706.42
  6. Step 6: Final answer
    x = 11,618.71

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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.