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Finding the Fourth Proportional to 26,762.44, 36,932.50 and 14,826

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Solution

The fourth proportional to 26,762.44, 36,932.50 and 14,826 is: 20,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,762.44 : 36,932.50 = 14,826 : x
  2. Step 2: Convert to fraction form
    26,762.44/36,932.50 = 14,826/x
  3. Step 3: Cross multiply
    26,762.44x = 36,932.50 × 14,826
  4. Step 4: Simplify right side
    26,762.44x = 547,561,245
  5. Step 5: Solve for x
    x = 547,561,245/26,762.44
  6. Step 6: Final answer
    x = 20,460.06

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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.