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Finding the Fourth Proportional to 13,019.41, 19,529.12 and 3,659.05

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Solution

The fourth proportional to 13,019.41, 19,529.12 and 3,659.05 is: 5,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.41 : 19,529.12 = 3,659.05 : x
  2. Step 2: Convert to fraction form
    13,019.41/19,529.12 = 3,659.05/x
  3. Step 3: Cross multiply
    13,019.41x = 19,529.12 × 3,659.05
  4. Step 4: Simplify right side
    13,019.41x = 71,458,026.54
  5. Step 5: Solve for x
    x = 71,458,026.54/13,019.41
  6. Step 6: Final answer
    x = 5,488.58

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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.