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Finding the Fourth Proportional to 19,814.31, 27,343.02 and 11,856.06

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Solution

The fourth proportional to 19,814.31, 27,343.02 and 11,856.06 is: 16,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.31 : 27,343.02 = 11,856.06 : x
  2. Step 2: Convert to fraction form
    19,814.31/27,343.02 = 11,856.06/x
  3. Step 3: Cross multiply
    19,814.31x = 27,343.02 × 11,856.06
  4. Step 4: Simplify right side
    19,814.31x = 324,180,485.70
  5. Step 5: Solve for x
    x = 324,180,485.70/19,814.31
  6. Step 6: Final answer
    x = 16,360.93

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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.