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Finding the Fourth Proportional to 19,697.83, 29,540.33 and 6,546.67

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Solution

The fourth proportional to 19,697.83, 29,540.33 and 6,546.67 is: 9,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.83 : 29,540.33 = 6,546.67 : x
  2. Step 2: Convert to fraction form
    19,697.83/29,540.33 = 6,546.67/x
  3. Step 3: Cross multiply
    19,697.83x = 29,540.33 × 6,546.67
  4. Step 4: Simplify right side
    19,697.83x = 193,390,710.17
  5. Step 5: Solve for x
    x = 193,390,710.17/19,697.83
  6. Step 6: Final answer
    x = 9,817.87

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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.