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Finding the Fourth Proportional to 19,664.70, 27,105.69 and 13,289.31

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Solution

The fourth proportional to 19,664.70, 27,105.69 and 13,289.31 is: 18,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.70 : 27,105.69 = 13,289.31 : x
  2. Step 2: Convert to fraction form
    19,664.70/27,105.69 = 13,289.31/x
  3. Step 3: Cross multiply
    19,664.70x = 27,105.69 × 13,289.31
  4. Step 4: Simplify right side
    19,664.70x = 360,215,917.17
  5. Step 5: Solve for x
    x = 360,215,917.17/19,664.70
  6. Step 6: Final answer
    x = 18,317.90

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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.