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Finding the Fourth Proportional to 16,662.62, 24,997.98 and 4,977.02

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Solution

The fourth proportional to 16,662.62, 24,997.98 and 4,977.02 is: 7,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.62 : 24,997.98 = 4,977.02 : x
  2. Step 2: Convert to fraction form
    16,662.62/24,997.98 = 4,977.02/x
  3. Step 3: Cross multiply
    16,662.62x = 24,997.98 × 4,977.02
  4. Step 4: Simplify right side
    16,662.62x = 124,415,446.42
  5. Step 5: Solve for x
    x = 124,415,446.42/16,662.62
  6. Step 6: Final answer
    x = 7,466.74

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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.