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Finding the Fourth Proportional to 22,698.36, 31,324.68 and 13,744.26

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Solution

The fourth proportional to 22,698.36, 31,324.68 and 13,744.26 is: 18,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.36 : 31,324.68 = 13,744.26 : x
  2. Step 2: Convert to fraction form
    22,698.36/31,324.68 = 13,744.26/x
  3. Step 3: Cross multiply
    22,698.36x = 31,324.68 × 13,744.26
  4. Step 4: Simplify right side
    22,698.36x = 430,534,546.34
  5. Step 5: Solve for x
    x = 430,534,546.34/22,698.36
  6. Step 6: Final answer
    x = 18,967.65

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