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Finding the Fourth Proportional to 31,353.36, 43,268.34 and 17,206.16

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Solution

The fourth proportional to 31,353.36, 43,268.34 and 17,206.16 is: 23,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.36 : 43,268.34 = 17,206.16 : x
  2. Step 2: Convert to fraction form
    31,353.36/43,268.34 = 17,206.16/x
  3. Step 3: Cross multiply
    31,353.36x = 43,268.34 × 17,206.16
  4. Step 4: Simplify right side
    31,353.36x = 744,481,980.97
  5. Step 5: Solve for x
    x = 744,481,980.97/31,353.36
  6. Step 6: Final answer
    x = 23,744.89

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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.