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Finding the Fourth Proportional to 13,016.69, 19,525.80 and 3,657.44

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Solution

The fourth proportional to 13,016.69, 19,525.80 and 3,657.44 is: 5,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.69 : 19,525.80 = 3,657.44 : x
  2. Step 2: Convert to fraction form
    13,016.69/19,525.80 = 3,657.44/x
  3. Step 3: Cross multiply
    13,016.69x = 19,525.80 × 3,657.44
  4. Step 4: Simplify right side
    13,016.69x = 71,414,483.91
  5. Step 5: Solve for x
    x = 71,414,483.91/13,016.69
  6. Step 6: Final answer
    x = 5,486.38

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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.