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Finding the Fourth Proportional to 16,946, 23,385.48 and 10,322

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Solution

The fourth proportional to 16,946, 23,385.48 and 10,322 is: 14,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946 : 23,385.48 = 10,322 : x
  2. Step 2: Convert to fraction form
    16,946/23,385.48 = 10,322/x
  3. Step 3: Cross multiply
    16,946x = 23,385.48 × 10,322
  4. Step 4: Simplify right side
    16,946x = 241,384,924.56
  5. Step 5: Solve for x
    x = 241,384,924.56/16,946
  6. Step 6: Final answer
    x = 14,244.36

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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.