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Finding the Fourth Proportional to 15,704.16, 23,556.16 and 5,843.20

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Solution

The fourth proportional to 15,704.16, 23,556.16 and 5,843.20 is: 8,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.16 : 23,556.16 = 5,843.20 : x
  2. Step 2: Convert to fraction form
    15,704.16/23,556.16 = 5,843.20/x
  3. Step 3: Cross multiply
    15,704.16x = 23,556.16 × 5,843.20
  4. Step 4: Simplify right side
    15,704.16x = 137,643,354.11
  5. Step 5: Solve for x
    x = 137,643,354.11/15,704.16
  6. Step 6: Final answer
    x = 8,764.77

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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.