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Finding the Fourth Proportional to 14,706.67, 20,296.93 and 8,738.33

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Solution

The fourth proportional to 14,706.67, 20,296.93 and 8,738.33 is: 12,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.67 : 20,296.93 = 8,738.33 : x
  2. Step 2: Convert to fraction form
    14,706.67/20,296.93 = 8,738.33/x
  3. Step 3: Cross multiply
    14,706.67x = 20,296.93 × 8,738.33
  4. Step 4: Simplify right side
    14,706.67x = 177,361,127.15
  5. Step 5: Solve for x
    x = 177,361,127.15/14,706.67
  6. Step 6: Final answer
    x = 12,059.91

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1.5x scale

Why These Related Problems?

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