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Finding the Fourth Proportional to 19,761.78, 29,598.84 and 14,198.46

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Solution

The fourth proportional to 19,761.78, 29,598.84 and 14,198.46 is: 21,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.78 : 29,598.84 = 14,198.46 : x
  2. Step 2: Convert to fraction form
    19,761.78/29,598.84 = 14,198.46/x
  3. Step 3: Cross multiply
    19,761.78x = 29,598.84 × 14,198.46
  4. Step 4: Simplify right side
    19,761.78x = 420,257,945.79
  5. Step 5: Solve for x
    x = 420,257,945.79/19,761.78
  6. Step 6: Final answer
    x = 21,266.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.