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Finding the Fourth Proportional to 16,142.06, 24,215.52 and 5,753

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Solution

The fourth proportional to 16,142.06, 24,215.52 and 5,753 is: 8,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.06 : 24,215.52 = 5,753 : x
  2. Step 2: Convert to fraction form
    16,142.06/24,215.52 = 5,753/x
  3. Step 3: Cross multiply
    16,142.06x = 24,215.52 × 5,753
  4. Step 4: Simplify right side
    16,142.06x = 139,311,886.56
  5. Step 5: Solve for x
    x = 139,311,886.56/16,142.06
  6. Step 6: Final answer
    x = 8,630.37

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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.