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Finding the Fourth Proportional to 19,698.87, 29,538.45 and 6,546.63

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Solution

The fourth proportional to 19,698.87, 29,538.45 and 6,546.63 is: 9,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.87 : 29,538.45 = 6,546.63 : x
  2. Step 2: Convert to fraction form
    19,698.87/29,538.45 = 6,546.63/x
  3. Step 3: Cross multiply
    19,698.87x = 29,538.45 × 6,546.63
  4. Step 4: Simplify right side
    19,698.87x = 193,377,302.92
  5. Step 5: Solve for x
    x = 193,377,302.92/19,698.87
  6. Step 6: Final answer
    x = 9,816.67

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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.