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Finding the Fourth Proportional to 24,611.44, 36,917.36 and 9,824.08

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Solution

The fourth proportional to 24,611.44, 36,917.36 and 9,824.08 is: 14,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611.44 : 36,917.36 = 9,824.08 : x
  2. Step 2: Convert to fraction form
    24,611.44/36,917.36 = 9,824.08/x
  3. Step 3: Cross multiply
    24,611.44x = 36,917.36 × 9,824.08
  4. Step 4: Simplify right side
    24,611.44x = 362,679,098.03
  5. Step 5: Solve for x
    x = 362,679,098.03/24,611.44
  6. Step 6: Final answer
    x = 14,736.20

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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.