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Finding the Fourth Proportional to 16,447.84, 24,675 and 4,761.16

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Solution

The fourth proportional to 16,447.84, 24,675 and 4,761.16 is: 7,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.84 : 24,675 = 4,761.16 : x
  2. Step 2: Convert to fraction form
    16,447.84/24,675 = 4,761.16/x
  3. Step 3: Cross multiply
    16,447.84x = 24,675 × 4,761.16
  4. Step 4: Simplify right side
    16,447.84x = 117,481,623
  5. Step 5: Solve for x
    x = 117,481,623/16,447.84
  6. Step 6: Final answer
    x = 7,142.68

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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.