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Finding the Fourth Proportional to 29,286.75, 40,415.77 and 15,858.12

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Solution

The fourth proportional to 29,286.75, 40,415.77 and 15,858.12 is: 21,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.75 : 40,415.77 = 15,858.12 : x
  2. Step 2: Convert to fraction form
    29,286.75/40,415.77 = 15,858.12/x
  3. Step 3: Cross multiply
    29,286.75x = 40,415.77 × 15,858.12
  4. Step 4: Simplify right side
    29,286.75x = 640,918,130.55
  5. Step 5: Solve for x
    x = 640,918,130.55/29,286.75
  6. Step 6: Final answer
    x = 21,884.24

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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.