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Finding the Fourth Proportional to 19,973.82, 27,574.92 and 12,018

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Solution

The fourth proportional to 19,973.82, 27,574.92 and 12,018 is: 16,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.82 : 27,574.92 = 12,018 : x
  2. Step 2: Convert to fraction form
    19,973.82/27,574.92 = 12,018/x
  3. Step 3: Cross multiply
    19,973.82x = 27,574.92 × 12,018
  4. Step 4: Simplify right side
    19,973.82x = 331,395,388.56
  5. Step 5: Solve for x
    x = 331,395,388.56/19,973.82
  6. Step 6: Final answer
    x = 16,591.49

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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.