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Finding the Fourth Proportional to 16,417, 22,655.46 and 8,965

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Solution

The fourth proportional to 16,417, 22,655.46 and 8,965 is: 12,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417 : 22,655.46 = 8,965 : x
  2. Step 2: Convert to fraction form
    16,417/22,655.46 = 8,965/x
  3. Step 3: Cross multiply
    16,417x = 22,655.46 × 8,965
  4. Step 4: Simplify right side
    16,417x = 203,106,198.90
  5. Step 5: Solve for x
    x = 203,106,198.90/16,417
  6. Step 6: Final answer
    x = 12,371.70

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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.