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Finding the Fourth Proportional to 13,766.22, 20,646.60 and 6,743.22

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Solution

The fourth proportional to 13,766.22, 20,646.60 and 6,743.22 is: 10,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.22 : 20,646.60 = 6,743.22 : x
  2. Step 2: Convert to fraction form
    13,766.22/20,646.60 = 6,743.22/x
  3. Step 3: Cross multiply
    13,766.22x = 20,646.60 × 6,743.22
  4. Step 4: Simplify right side
    13,766.22x = 139,224,566.05
  5. Step 5: Solve for x
    x = 139,224,566.05/13,766.22
  6. Step 6: Final answer
    x = 10,113.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.