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Finding the Fourth Proportional to 26,118.36, 36,043.30 and 14,182

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Solution

The fourth proportional to 26,118.36, 36,043.30 and 14,182 is: 19,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,118.36 : 36,043.30 = 14,182 : x
  2. Step 2: Convert to fraction form
    26,118.36/36,043.30 = 14,182/x
  3. Step 3: Cross multiply
    26,118.36x = 36,043.30 × 14,182
  4. Step 4: Simplify right side
    26,118.36x = 511,166,080.60
  5. Step 5: Solve for x
    x = 511,166,080.60/26,118.36
  6. Step 6: Final answer
    x = 19,571.14

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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.