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Finding the Fourth Proportional to 13,119.64, 19,676.10 and 3,883.48

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Solution

The fourth proportional to 13,119.64, 19,676.10 and 3,883.48 is: 5,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.64 : 19,676.10 = 3,883.48 : x
  2. Step 2: Convert to fraction form
    13,119.64/19,676.10 = 3,883.48/x
  3. Step 3: Cross multiply
    13,119.64x = 19,676.10 × 3,883.48
  4. Step 4: Simplify right side
    13,119.64x = 76,411,740.83
  5. Step 5: Solve for x
    x = 76,411,740.83/13,119.64
  6. Step 6: Final answer
    x = 5,824.23

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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.