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Finding the Fourth Proportional to 13,782.75, 20,667.30 and 5,884.03

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Solution

The fourth proportional to 13,782.75, 20,667.30 and 5,884.03 is: 8,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.75 : 20,667.30 = 5,884.03 : x
  2. Step 2: Convert to fraction form
    13,782.75/20,667.30 = 5,884.03/x
  3. Step 3: Cross multiply
    13,782.75x = 20,667.30 × 5,884.03
  4. Step 4: Simplify right side
    13,782.75x = 121,607,013.22
  5. Step 5: Solve for x
    x = 121,607,013.22/13,782.75
  6. Step 6: Final answer
    x = 8,823.13

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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.