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Finding the Fourth Proportional to 16,361.68, 24,525 and 6,487.28

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Solution

The fourth proportional to 16,361.68, 24,525 and 6,487.28 is: 9,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.68 : 24,525 = 6,487.28 : x
  2. Step 2: Convert to fraction form
    16,361.68/24,525 = 6,487.28/x
  3. Step 3: Cross multiply
    16,361.68x = 24,525 × 6,487.28
  4. Step 4: Simplify right side
    16,361.68x = 159,100,542
  5. Step 5: Solve for x
    x = 159,100,542/16,361.68
  6. Step 6: Final answer
    x = 9,723.97

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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.