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Finding the Fourth Proportional to 23,109.00, 31,894.21 and 14,161.43

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Solution

The fourth proportional to 23,109.00, 31,894.21 and 14,161.43 is: 19,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.00 : 31,894.21 = 14,161.43 : x
  2. Step 2: Convert to fraction form
    23,109.00/31,894.21 = 14,161.43/x
  3. Step 3: Cross multiply
    23,109.00x = 31,894.21 × 14,161.43
  4. Step 4: Simplify right side
    23,109.00x = 451,667,640.10
  5. Step 5: Solve for x
    x = 451,667,640.10/23,109.00
  6. Step 6: Final answer
    x = 19,545.10

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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.