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Finding the Fourth Proportional to 23,922.27, 35,852.09 and 9,865.94

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Solution

The fourth proportional to 23,922.27, 35,852.09 and 9,865.94 is: 14,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.27 : 35,852.09 = 9,865.94 : x
  2. Step 2: Convert to fraction form
    23,922.27/35,852.09 = 9,865.94/x
  3. Step 3: Cross multiply
    23,922.27x = 35,852.09 × 9,865.94
  4. Step 4: Simplify right side
    23,922.27x = 353,714,568.81
  5. Step 5: Solve for x
    x = 353,714,568.81/23,922.27
  6. Step 6: Final answer
    x = 14,786.00

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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.