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Finding the Fourth Proportional to 18,066, 24,917.10 and 13,806.48

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Solution

The fourth proportional to 18,066, 24,917.10 and 13,806.48 is: 19,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,066 : 24,917.10 = 13,806.48 : x
  2. Step 2: Convert to fraction form
    18,066/24,917.10 = 13,806.48/x
  3. Step 3: Cross multiply
    18,066x = 24,917.10 × 13,806.48
  4. Step 4: Simplify right side
    18,066x = 344,017,442.81
  5. Step 5: Solve for x
    x = 344,017,442.81/18,066
  6. Step 6: Final answer
    x = 19,042.26

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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.