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Finding the Fourth Proportional to 11,017, 16,499.58 and 8,425

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Solution

The fourth proportional to 11,017, 16,499.58 and 8,425 is: 12,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017 : 16,499.58 = 8,425 : x
  2. Step 2: Convert to fraction form
    11,017/16,499.58 = 8,425/x
  3. Step 3: Cross multiply
    11,017x = 16,499.58 × 8,425
  4. Step 4: Simplify right side
    11,017x = 139,008,961.50
  5. Step 5: Solve for x
    x = 139,008,961.50/11,017
  6. Step 6: Final answer
    x = 12,617.68

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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.