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Finding the Fourth Proportional to 13,212.52, 19,817.87 and 3,852.16

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Solution

The fourth proportional to 13,212.52, 19,817.87 and 3,852.16 is: 5,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.52 : 19,817.87 = 3,852.16 : x
  2. Step 2: Convert to fraction form
    13,212.52/19,817.87 = 3,852.16/x
  3. Step 3: Cross multiply
    13,212.52x = 19,817.87 × 3,852.16
  4. Step 4: Simplify right side
    13,212.52x = 76,341,537.29
  5. Step 5: Solve for x
    x = 76,341,537.29/13,212.52
  6. Step 6: Final answer
    x = 5,777.97

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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.