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Finding the Fourth Proportional to 19,524.98, 29,299.50 and 7,676.66

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Solution

The fourth proportional to 19,524.98, 29,299.50 and 7,676.66 is: 11,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.98 : 29,299.50 = 7,676.66 : x
  2. Step 2: Convert to fraction form
    19,524.98/29,299.50 = 7,676.66/x
  3. Step 3: Cross multiply
    19,524.98x = 29,299.50 × 7,676.66
  4. Step 4: Simplify right side
    19,524.98x = 224,922,153.17
  5. Step 5: Solve for x
    x = 224,922,153.17/19,524.98
  6. Step 6: Final answer
    x = 11,519.72

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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.