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Finding the Fourth Proportional to 13,118.25, 19,680.71 and 3,884.25

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Solution

The fourth proportional to 13,118.25, 19,680.71 and 3,884.25 is: 5,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.25 : 19,680.71 = 3,884.25 : x
  2. Step 2: Convert to fraction form
    13,118.25/19,680.71 = 3,884.25/x
  3. Step 3: Cross multiply
    13,118.25x = 19,680.71 × 3,884.25
  4. Step 4: Simplify right side
    13,118.25x = 76,444,778.40
  5. Step 5: Solve for x
    x = 76,444,778.40/13,118.25
  6. Step 6: Final answer
    x = 5,827.36

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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.