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Finding the Fourth Proportional to 13,211.74, 19,820.19 and 4,891.82

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Solution

The fourth proportional to 13,211.74, 19,820.19 and 4,891.82 is: 7,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.74 : 19,820.19 = 4,891.82 : x
  2. Step 2: Convert to fraction form
    13,211.74/19,820.19 = 4,891.82/x
  3. Step 3: Cross multiply
    13,211.74x = 19,820.19 × 4,891.82
  4. Step 4: Simplify right side
    13,211.74x = 96,956,801.85
  5. Step 5: Solve for x
    x = 96,956,801.85/13,211.74
  6. Step 6: Final answer
    x = 7,338.69

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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.