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Finding the Fourth Proportional to 13,204.40, 19,782.60 and 10,449.20

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Solution

The fourth proportional to 13,204.40, 19,782.60 and 10,449.20 is: 15,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.40 : 19,782.60 = 10,449.20 : x
  2. Step 2: Convert to fraction form
    13,204.40/19,782.60 = 10,449.20/x
  3. Step 3: Cross multiply
    13,204.40x = 19,782.60 × 10,449.20
  4. Step 4: Simplify right side
    13,204.40x = 206,712,343.92
  5. Step 5: Solve for x
    x = 206,712,343.92/13,204.40
  6. Step 6: Final answer
    x = 15,654.81

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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.