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Finding the Fourth Proportional to 14,690, 20,272.68 and 8,066

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Solution

The fourth proportional to 14,690, 20,272.68 and 8,066 is: 11,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690 : 20,272.68 = 8,066 : x
  2. Step 2: Convert to fraction form
    14,690/20,272.68 = 8,066/x
  3. Step 3: Cross multiply
    14,690x = 20,272.68 × 8,066
  4. Step 4: Simplify right side
    14,690x = 163,519,436.88
  5. Step 5: Solve for x
    x = 163,519,436.88/14,690
  6. Step 6: Final answer
    x = 11,131.34

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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.