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Finding the Fourth Proportional to 16,494.53, 24,734.77 and 6,361.25

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Solution

The fourth proportional to 16,494.53, 24,734.77 and 6,361.25 is: 9,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.53 : 24,734.77 = 6,361.25 : x
  2. Step 2: Convert to fraction form
    16,494.53/24,734.77 = 6,361.25/x
  3. Step 3: Cross multiply
    16,494.53x = 24,734.77 × 6,361.25
  4. Step 4: Simplify right side
    16,494.53x = 157,343,916.09
  5. Step 5: Solve for x
    x = 157,343,916.09/16,494.53
  6. Step 6: Final answer
    x = 9,539.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.