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Finding the Fourth Proportional to 13,086, 19,634.25 and 4,766.59

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Solution

The fourth proportional to 13,086, 19,634.25 and 4,766.59 is: 7,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 19,634.25 = 4,766.59 : x
  2. Step 2: Convert to fraction form
    13,086/19,634.25 = 4,766.59/x
  3. Step 3: Cross multiply
    13,086x = 19,634.25 × 4,766.59
  4. Step 4: Simplify right side
    13,086x = 93,588,395.87
  5. Step 5: Solve for x
    x = 93,588,395.87/13,086
  6. Step 6: Final answer
    x = 7,151.80

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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.