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Finding the Fourth Proportional to 19,682.94, 27,172.15 and 13,637.77

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Solution

The fourth proportional to 19,682.94, 27,172.15 and 13,637.77 is: 18,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.94 : 27,172.15 = 13,637.77 : x
  2. Step 2: Convert to fraction form
    19,682.94/27,172.15 = 13,637.77/x
  3. Step 3: Cross multiply
    19,682.94x = 27,172.15 × 13,637.77
  4. Step 4: Simplify right side
    19,682.94x = 370,567,532.11
  5. Step 5: Solve for x
    x = 370,567,532.11/19,682.94
  6. Step 6: Final answer
    x = 18,826.84

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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.