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Finding the Fourth Proportional to 19,704.63, 29,556.96 and 5,853.63

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Solution

The fourth proportional to 19,704.63, 29,556.96 and 5,853.63 is: 8,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.63 : 29,556.96 = 5,853.63 : x
  2. Step 2: Convert to fraction form
    19,704.63/29,556.96 = 5,853.63/x
  3. Step 3: Cross multiply
    19,704.63x = 29,556.96 × 5,853.63
  4. Step 4: Simplify right side
    19,704.63x = 173,015,507.76
  5. Step 5: Solve for x
    x = 173,015,507.76/19,704.63
  6. Step 6: Final answer
    x = 8,780.45

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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.