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Finding the Fourth Proportional to 23,751.10, 32,778.75 and 14,191

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Solution

The fourth proportional to 23,751.10, 32,778.75 and 14,191 is: 19,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.10 : 32,778.75 = 14,191 : x
  2. Step 2: Convert to fraction form
    23,751.10/32,778.75 = 14,191/x
  3. Step 3: Cross multiply
    23,751.10x = 32,778.75 × 14,191
  4. Step 4: Simplify right side
    23,751.10x = 465,163,241.25
  5. Step 5: Solve for x
    x = 465,163,241.25/23,751.10
  6. Step 6: Final answer
    x = 19,584.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.