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Finding the Fourth Proportional to 23,832.09, 35,752.02 and 8,038.62

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Solution

The fourth proportional to 23,832.09, 35,752.02 and 8,038.62 is: 12,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.09 : 35,752.02 = 8,038.62 : x
  2. Step 2: Convert to fraction form
    23,832.09/35,752.02 = 8,038.62/x
  3. Step 3: Cross multiply
    23,832.09x = 35,752.02 × 8,038.62
  4. Step 4: Simplify right side
    23,832.09x = 287,396,903.01
  5. Step 5: Solve for x
    x = 287,396,903.01/23,832.09
  6. Step 6: Final answer
    x = 12,059.24

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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.