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Finding the Fourth Proportional to 16,968, 23,415.96 and 10,344

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Solution

The fourth proportional to 16,968, 23,415.96 and 10,344 is: 14,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968 : 23,415.96 = 10,344 : x
  2. Step 2: Convert to fraction form
    16,968/23,415.96 = 10,344/x
  3. Step 3: Cross multiply
    16,968x = 23,415.96 × 10,344
  4. Step 4: Simplify right side
    16,968x = 242,214,690.24
  5. Step 5: Solve for x
    x = 242,214,690.24/16,968
  6. Step 6: Final answer
    x = 14,274.79

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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.