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Finding the Fourth Proportional to 14,215.50, 21,323.25 and 3,827.25

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Solution

The fourth proportional to 14,215.50, 21,323.25 and 3,827.25 is: 5,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.50 : 21,323.25 = 3,827.25 : x
  2. Step 2: Convert to fraction form
    14,215.50/21,323.25 = 3,827.25/x
  3. Step 3: Cross multiply
    14,215.50x = 21,323.25 × 3,827.25
  4. Step 4: Simplify right side
    14,215.50x = 81,609,408.56
  5. Step 5: Solve for x
    x = 81,609,408.56/14,215.50
  6. Step 6: Final answer
    x = 5,740.88

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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.