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Finding the Fourth Proportional to 19,709.10, 27,190.80 and 12,997.98

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Solution

The fourth proportional to 19,709.10, 27,190.80 and 12,997.98 is: 17,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.10 : 27,190.80 = 12,997.98 : x
  2. Step 2: Convert to fraction form
    19,709.10/27,190.80 = 12,997.98/x
  3. Step 3: Cross multiply
    19,709.10x = 27,190.80 × 12,997.98
  4. Step 4: Simplify right side
    19,709.10x = 353,425,474.58
  5. Step 5: Solve for x
    x = 353,425,474.58/19,709.10
  6. Step 6: Final answer
    x = 17,932.10

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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.