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Finding the Fourth Proportional to 13,026.79, 19,532.31 and 5,119.84

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Solution

The fourth proportional to 13,026.79, 19,532.31 and 5,119.84 is: 7,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.79 : 19,532.31 = 5,119.84 : x
  2. Step 2: Convert to fraction form
    13,026.79/19,532.31 = 5,119.84/x
  3. Step 3: Cross multiply
    13,026.79x = 19,532.31 × 5,119.84
  4. Step 4: Simplify right side
    13,026.79x = 100,002,302.03
  5. Step 5: Solve for x
    x = 100,002,302.03/13,026.79
  6. Step 6: Final answer
    x = 7,676.66

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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.