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Finding the Fourth Proportional to 27,735.37, 38,268.78 and 16,405.49

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Solution

The fourth proportional to 27,735.37, 38,268.78 and 16,405.49 is: 22,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.37 : 38,268.78 = 16,405.49 : x
  2. Step 2: Convert to fraction form
    27,735.37/38,268.78 = 16,405.49/x
  3. Step 3: Cross multiply
    27,735.37x = 38,268.78 × 16,405.49
  4. Step 4: Simplify right side
    27,735.37x = 627,818,087.60
  5. Step 5: Solve for x
    x = 627,818,087.60/27,735.37
  6. Step 6: Final answer
    x = 22,636.01

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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.