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Finding the Fourth Proportional to 14,908.42, 20,574.11 and 8,194.28

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Solution

The fourth proportional to 14,908.42, 20,574.11 and 8,194.28 is: 11,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.42 : 20,574.11 = 8,194.28 : x
  2. Step 2: Convert to fraction form
    14,908.42/20,574.11 = 8,194.28/x
  3. Step 3: Cross multiply
    14,908.42x = 20,574.11 × 8,194.28
  4. Step 4: Simplify right side
    14,908.42x = 168,590,028.55
  5. Step 5: Solve for x
    x = 168,590,028.55/14,908.42
  6. Step 6: Final answer
    x = 11,308.38

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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.