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Finding the Fourth Proportional to 19,814.90, 27,343.74 and 11,852.42

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Solution

The fourth proportional to 19,814.90, 27,343.74 and 11,852.42 is: 16,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.90 : 27,343.74 = 11,852.42 : x
  2. Step 2: Convert to fraction form
    19,814.90/27,343.74 = 11,852.42/x
  3. Step 3: Cross multiply
    19,814.90x = 27,343.74 × 11,852.42
  4. Step 4: Simplify right side
    19,814.90x = 324,089,490.85
  5. Step 5: Solve for x
    x = 324,089,490.85/19,814.90
  6. Step 6: Final answer
    x = 16,355.85

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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.