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Finding the Fourth Proportional to 19,546.66, 29,312.67 and 7,855.94

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Solution

The fourth proportional to 19,546.66, 29,312.67 and 7,855.94 is: 11,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.66 : 29,312.67 = 7,855.94 : x
  2. Step 2: Convert to fraction form
    19,546.66/29,312.67 = 7,855.94/x
  3. Step 3: Cross multiply
    19,546.66x = 29,312.67 × 7,855.94
  4. Step 4: Simplify right side
    19,546.66x = 230,278,576.76
  5. Step 5: Solve for x
    x = 230,278,576.76/19,546.66
  6. Step 6: Final answer
    x = 11,780.97

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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.