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Finding the Fourth Proportional to 23,633.34, 35,453.60 and 8,047.32

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Solution

The fourth proportional to 23,633.34, 35,453.60 and 8,047.32 is: 12,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.34 : 35,453.60 = 8,047.32 : x
  2. Step 2: Convert to fraction form
    23,633.34/35,453.60 = 8,047.32/x
  3. Step 3: Cross multiply
    23,633.34x = 35,453.60 × 8,047.32
  4. Step 4: Simplify right side
    23,633.34x = 285,306,424.12
  5. Step 5: Solve for x
    x = 285,306,424.12/23,633.34
  6. Step 6: Final answer
    x = 12,072.20

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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.