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Finding the Fourth Proportional to 16,737, 23,098.14 and 9,285

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Solution

The fourth proportional to 16,737, 23,098.14 and 9,285 is: 12,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737 : 23,098.14 = 9,285 : x
  2. Step 2: Convert to fraction form
    16,737/23,098.14 = 9,285/x
  3. Step 3: Cross multiply
    16,737x = 23,098.14 × 9,285
  4. Step 4: Simplify right side
    16,737x = 214,466,229.90
  5. Step 5: Solve for x
    x = 214,466,229.90/16,737
  6. Step 6: Final answer
    x = 12,813.90

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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.