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Finding the Fourth Proportional to 16,962, 23,407.56 and 10,338

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Solution

The fourth proportional to 16,962, 23,407.56 and 10,338 is: 14,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962 : 23,407.56 = 10,338 : x
  2. Step 2: Convert to fraction form
    16,962/23,407.56 = 10,338/x
  3. Step 3: Cross multiply
    16,962x = 23,407.56 × 10,338
  4. Step 4: Simplify right side
    16,962x = 241,987,355.28
  5. Step 5: Solve for x
    x = 241,987,355.28/16,962
  6. Step 6: Final answer
    x = 14,266.44

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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.