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Finding the Fourth Proportional to 23,732.63, 35,663.61 and 12,647.24

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Solution

The fourth proportional to 23,732.63, 35,663.61 and 12,647.24 is: 19,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.63 : 35,663.61 = 12,647.24 : x
  2. Step 2: Convert to fraction form
    23,732.63/35,663.61 = 12,647.24/x
  3. Step 3: Cross multiply
    23,732.63x = 35,663.61 × 12,647.24
  4. Step 4: Simplify right side
    23,732.63x = 451,046,234.94
  5. Step 5: Solve for x
    x = 451,046,234.94/23,732.63
  6. Step 6: Final answer
    x = 19,005.32

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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.