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Finding the Fourth Proportional to 21,716.93, 29,965.50 and 12,766.25

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Solution

The fourth proportional to 21,716.93, 29,965.50 and 12,766.25 is: 17,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.93 : 29,965.50 = 12,766.25 : x
  2. Step 2: Convert to fraction form
    21,716.93/29,965.50 = 12,766.25/x
  3. Step 3: Cross multiply
    21,716.93x = 29,965.50 × 12,766.25
  4. Step 4: Simplify right side
    21,716.93x = 382,546,914.55
  5. Step 5: Solve for x
    x = 382,546,914.55/21,716.93
  6. Step 6: Final answer
    x = 17,615.15

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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.