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Finding the Fourth Proportional to 27,411.35, 41,083.91 and 13,350.31

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Solution

The fourth proportional to 27,411.35, 41,083.91 and 13,350.31 is: 20,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.35 : 41,083.91 = 13,350.31 : x
  2. Step 2: Convert to fraction form
    27,411.35/41,083.91 = 13,350.31/x
  3. Step 3: Cross multiply
    27,411.35x = 41,083.91 × 13,350.31
  4. Step 4: Simplify right side
    27,411.35x = 548,482,662.34
  5. Step 5: Solve for x
    x = 548,482,662.34/27,411.35
  6. Step 6: Final answer
    x = 20,009.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.