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Finding the Fourth Proportional to 13,183.76, 19,762.92 and 4,859.22

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Solution

The fourth proportional to 13,183.76, 19,762.92 and 4,859.22 is: 7,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.76 : 19,762.92 = 4,859.22 : x
  2. Step 2: Convert to fraction form
    13,183.76/19,762.92 = 4,859.22/x
  3. Step 3: Cross multiply
    13,183.76x = 19,762.92 × 4,859.22
  4. Step 4: Simplify right side
    13,183.76x = 96,032,450.23
  5. Step 5: Solve for x
    x = 96,032,450.23/13,183.76
  6. Step 6: Final answer
    x = 7,284.15

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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.