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Finding the Fourth Proportional to 13,028.24, 19,520.44 and 8,401.52

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Solution

The fourth proportional to 13,028.24, 19,520.44 and 8,401.52 is: 12,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.24 : 19,520.44 = 8,401.52 : x
  2. Step 2: Convert to fraction form
    13,028.24/19,520.44 = 8,401.52/x
  3. Step 3: Cross multiply
    13,028.24x = 19,520.44 × 8,401.52
  4. Step 4: Simplify right side
    13,028.24x = 164,001,367.07
  5. Step 5: Solve for x
    x = 164,001,367.07/13,028.24
  6. Step 6: Final answer
    x = 12,588.14

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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.