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Finding the Fourth Proportional to 16,697, 23,041.86 and 9,245

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Solution

The fourth proportional to 16,697, 23,041.86 and 9,245 is: 12,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697 : 23,041.86 = 9,245 : x
  2. Step 2: Convert to fraction form
    16,697/23,041.86 = 9,245/x
  3. Step 3: Cross multiply
    16,697x = 23,041.86 × 9,245
  4. Step 4: Simplify right side
    16,697x = 213,021,995.70
  5. Step 5: Solve for x
    x = 213,021,995.70/16,697
  6. Step 6: Final answer
    x = 12,758.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.