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Finding the Fourth Proportional to 16,746, 23,110.20 and 9,294

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Solution

The fourth proportional to 16,746, 23,110.20 and 9,294 is: 12,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746 : 23,110.20 = 9,294 : x
  2. Step 2: Convert to fraction form
    16,746/23,110.20 = 9,294/x
  3. Step 3: Cross multiply
    16,746x = 23,110.20 × 9,294
  4. Step 4: Simplify right side
    16,746x = 214,786,198.80
  5. Step 5: Solve for x
    x = 214,786,198.80/16,746
  6. Step 6: Final answer
    x = 12,826.12

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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.