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Finding the Fourth Proportional to 16,928, 23,362.20 and 9,476

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Solution

The fourth proportional to 16,928, 23,362.20 and 9,476 is: 13,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928 : 23,362.20 = 9,476 : x
  2. Step 2: Convert to fraction form
    16,928/23,362.20 = 9,476/x
  3. Step 3: Cross multiply
    16,928x = 23,362.20 × 9,476
  4. Step 4: Simplify right side
    16,928x = 221,380,207.20
  5. Step 5: Solve for x
    x = 221,380,207.20/16,928
  6. Step 6: Final answer
    x = 13,077.75

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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.