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Finding the Fourth Proportional to 13,642.36, 20,468.52 and 5,746.85

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Solution

The fourth proportional to 13,642.36, 20,468.52 and 5,746.85 is: 8,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.36 : 20,468.52 = 5,746.85 : x
  2. Step 2: Convert to fraction form
    13,642.36/20,468.52 = 5,746.85/x
  3. Step 3: Cross multiply
    13,642.36x = 20,468.52 × 5,746.85
  4. Step 4: Simplify right side
    13,642.36x = 117,629,514.16
  5. Step 5: Solve for x
    x = 117,629,514.16/13,642.36
  6. Step 6: Final answer
    x = 8,622.37

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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.