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Finding the Fourth Proportional to 13,637.93, 20,456.82 and 3,777.17

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Solution

The fourth proportional to 13,637.93, 20,456.82 and 3,777.17 is: 5,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.93 : 20,456.82 = 3,777.17 : x
  2. Step 2: Convert to fraction form
    13,637.93/20,456.82 = 3,777.17/x
  3. Step 3: Cross multiply
    13,637.93x = 20,456.82 × 3,777.17
  4. Step 4: Simplify right side
    13,637.93x = 77,268,784.52
  5. Step 5: Solve for x
    x = 77,268,784.52/13,637.93
  6. Step 6: Final answer
    x = 5,665.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.