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Finding the Fourth Proportional to 26,142.64, 36,076.77 and 14,205.98

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Solution

The fourth proportional to 26,142.64, 36,076.77 and 14,205.98 is: 19,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.64 : 36,076.77 = 14,205.98 : x
  2. Step 2: Convert to fraction form
    26,142.64/36,076.77 = 14,205.98/x
  3. Step 3: Cross multiply
    26,142.64x = 36,076.77 × 14,205.98
  4. Step 4: Simplify right side
    26,142.64x = 512,505,873.08
  5. Step 5: Solve for x
    x = 512,505,873.08/26,142.64
  6. Step 6: Final answer
    x = 19,604.21

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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.