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Finding the Fourth Proportional to 16,826, 23,220.68 and 9,374

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Solution

The fourth proportional to 16,826, 23,220.68 and 9,374 is: 12,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826 : 23,220.68 = 9,374 : x
  2. Step 2: Convert to fraction form
    16,826/23,220.68 = 9,374/x
  3. Step 3: Cross multiply
    16,826x = 23,220.68 × 9,374
  4. Step 4: Simplify right side
    16,826x = 217,670,654.32
  5. Step 5: Solve for x
    x = 217,670,654.32/16,826
  6. Step 6: Final answer
    x = 12,936.57

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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.