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Finding the Fourth Proportional to 19,682.74, 27,162.70 and 12,134.06

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Solution

The fourth proportional to 19,682.74, 27,162.70 and 12,134.06 is: 16,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.74 : 27,162.70 = 12,134.06 : x
  2. Step 2: Convert to fraction form
    19,682.74/27,162.70 = 12,134.06/x
  3. Step 3: Cross multiply
    19,682.74x = 27,162.70 × 12,134.06
  4. Step 4: Simplify right side
    19,682.74x = 329,593,801.23
  5. Step 5: Solve for x
    x = 329,593,801.23/19,682.74
  6. Step 6: Final answer
    x = 16,745.32

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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.