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Finding the Fourth Proportional to 16,634, 24,951 and 4,946.96

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Solution

The fourth proportional to 16,634, 24,951 and 4,946.96 is: 7,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634 : 24,951 = 4,946.96 : x
  2. Step 2: Convert to fraction form
    16,634/24,951 = 4,946.96/x
  3. Step 3: Cross multiply
    16,634x = 24,951 × 4,946.96
  4. Step 4: Simplify right side
    16,634x = 123,431,598.96
  5. Step 5: Solve for x
    x = 123,431,598.96/16,634
  6. Step 6: Final answer
    x = 7,420.44

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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.