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Finding the Fourth Proportional to 13,016.48, 19,525.48 and 3,657.23

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Solution

The fourth proportional to 13,016.48, 19,525.48 and 3,657.23 is: 5,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.48 : 19,525.48 = 3,657.23 : x
  2. Step 2: Convert to fraction form
    13,016.48/19,525.48 = 3,657.23/x
  3. Step 3: Cross multiply
    13,016.48x = 19,525.48 × 3,657.23
  4. Step 4: Simplify right side
    13,016.48x = 71,409,231.46
  5. Step 5: Solve for x
    x = 71,409,231.46/13,016.48
  6. Step 6: Final answer
    x = 5,486.06

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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.