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Finding the Fourth Proportional to 20,146.73, 27,777.48 and 13,417.60

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Solution

The fourth proportional to 20,146.73, 27,777.48 and 13,417.60 is: 18,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.73 : 27,777.48 = 13,417.60 : x
  2. Step 2: Convert to fraction form
    20,146.73/27,777.48 = 13,417.60/x
  3. Step 3: Cross multiply
    20,146.73x = 27,777.48 × 13,417.60
  4. Step 4: Simplify right side
    20,146.73x = 372,707,123.45
  5. Step 5: Solve for x
    x = 372,707,123.45/20,146.73
  6. Step 6: Final answer
    x = 18,499.64

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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.