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Finding the Fourth Proportional to 23,624.44, 35,428.86 and 7,825.84

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Solution

The fourth proportional to 23,624.44, 35,428.86 and 7,825.84 is: 11,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.44 : 35,428.86 = 7,825.84 : x
  2. Step 2: Convert to fraction form
    23,624.44/35,428.86 = 7,825.84/x
  3. Step 3: Cross multiply
    23,624.44x = 35,428.86 × 7,825.84
  4. Step 4: Simplify right side
    23,624.44x = 277,260,589.74
  5. Step 5: Solve for x
    x = 277,260,589.74/23,624.44
  6. Step 6: Final answer
    x = 11,736.18

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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.