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Finding the Fourth Proportional to 13,174.80, 19,765.92 and 5,389.20

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Solution

The fourth proportional to 13,174.80, 19,765.92 and 5,389.20 is: 8,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.80 : 19,765.92 = 5,389.20 : x
  2. Step 2: Convert to fraction form
    13,174.80/19,765.92 = 5,389.20/x
  3. Step 3: Cross multiply
    13,174.80x = 19,765.92 × 5,389.20
  4. Step 4: Simplify right side
    13,174.80x = 106,522,496.06
  5. Step 5: Solve for x
    x = 106,522,496.06/13,174.80
  6. Step 6: Final answer
    x = 8,085.32

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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.