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Finding the Fourth Proportional to 16,745, 23,108.82 and 9,293

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Solution

The fourth proportional to 16,745, 23,108.82 and 9,293 is: 12,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745 : 23,108.82 = 9,293 : x
  2. Step 2: Convert to fraction form
    16,745/23,108.82 = 9,293/x
  3. Step 3: Cross multiply
    16,745x = 23,108.82 × 9,293
  4. Step 4: Simplify right side
    16,745x = 214,750,264.26
  5. Step 5: Solve for x
    x = 214,750,264.26/16,745
  6. Step 6: Final answer
    x = 12,824.74

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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.