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Finding the Fourth Proportional to 13,871.90, 19,143.25 and 7,584.68

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Solution

The fourth proportional to 13,871.90, 19,143.25 and 7,584.68 is: 10,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.90 : 19,143.25 = 7,584.68 : x
  2. Step 2: Convert to fraction form
    13,871.90/19,143.25 = 7,584.68/x
  3. Step 3: Cross multiply
    13,871.90x = 19,143.25 × 7,584.68
  4. Step 4: Simplify right side
    13,871.90x = 145,195,310.73
  5. Step 5: Solve for x
    x = 145,195,310.73/13,871.90
  6. Step 6: Final answer
    x = 10,466.87

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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.