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Finding the Fourth Proportional to 16,963, 23,408.94 and 10,339

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Solution

The fourth proportional to 16,963, 23,408.94 and 10,339 is: 14,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963 : 23,408.94 = 10,339 : x
  2. Step 2: Convert to fraction form
    16,963/23,408.94 = 10,339/x
  3. Step 3: Cross multiply
    16,963x = 23,408.94 × 10,339
  4. Step 4: Simplify right side
    16,963x = 242,025,030.66
  5. Step 5: Solve for x
    x = 242,025,030.66/16,963
  6. Step 6: Final answer
    x = 14,267.82

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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.