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Finding the Fourth Proportional to 24,019.52, 33,145.56 and 13,409.82

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Solution

The fourth proportional to 24,019.52, 33,145.56 and 13,409.82 is: 18,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.52 : 33,145.56 = 13,409.82 : x
  2. Step 2: Convert to fraction form
    24,019.52/33,145.56 = 13,409.82/x
  3. Step 3: Cross multiply
    24,019.52x = 33,145.56 × 13,409.82
  4. Step 4: Simplify right side
    24,019.52x = 444,475,993.40
  5. Step 5: Solve for x
    x = 444,475,993.40/24,019.52
  6. Step 6: Final answer
    x = 18,504.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.