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Finding the Fourth Proportional to 16,261.44, 24,392.04 and 5,729

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Solution

The fourth proportional to 16,261.44, 24,392.04 and 5,729 is: 8,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.44 : 24,392.04 = 5,729 : x
  2. Step 2: Convert to fraction form
    16,261.44/24,392.04 = 5,729/x
  3. Step 3: Cross multiply
    16,261.44x = 24,392.04 × 5,729
  4. Step 4: Simplify right side
    16,261.44x = 139,741,997.16
  5. Step 5: Solve for x
    x = 139,741,997.16/16,261.44
  6. Step 6: Final answer
    x = 8,593.46

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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.