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Finding the Fourth Proportional to 24,519, 33,836.88 and 13,908.24

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Solution

The fourth proportional to 24,519, 33,836.88 and 13,908.24 is: 19,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519 : 33,836.88 = 13,908.24 : x
  2. Step 2: Convert to fraction form
    24,519/33,836.88 = 13,908.24/x
  3. Step 3: Cross multiply
    24,519x = 33,836.88 × 13,908.24
  4. Step 4: Simplify right side
    24,519x = 470,611,447.89
  5. Step 5: Solve for x
    x = 470,611,447.89/24,519
  6. Step 6: Final answer
    x = 19,193.75

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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.