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Finding the Fourth Proportional to 24,532.88, 33,858.42 and 13,922.96

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Solution

The fourth proportional to 24,532.88, 33,858.42 and 13,922.96 is: 19,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.88 : 33,858.42 = 13,922.96 : x
  2. Step 2: Convert to fraction form
    24,532.88/33,858.42 = 13,922.96/x
  3. Step 3: Cross multiply
    24,532.88x = 33,858.42 × 13,922.96
  4. Step 4: Simplify right side
    24,532.88x = 471,409,427.32
  5. Step 5: Solve for x
    x = 471,409,427.32/24,532.88
  6. Step 6: Final answer
    x = 19,215.41

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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.