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Finding the Fourth Proportional to 14,546.34, 21,827.34 and 5,781.33

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Solution

The fourth proportional to 14,546.34, 21,827.34 and 5,781.33 is: 8,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.34 : 21,827.34 = 5,781.33 : x
  2. Step 2: Convert to fraction form
    14,546.34/21,827.34 = 5,781.33/x
  3. Step 3: Cross multiply
    14,546.34x = 21,827.34 × 5,781.33
  4. Step 4: Simplify right side
    14,546.34x = 126,191,055.56
  5. Step 5: Solve for x
    x = 126,191,055.56/14,546.34
  6. Step 6: Final answer
    x = 8,675.11

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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.