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Finding the Fourth Proportional to 16,744, 23,107.44 and 9,292

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Solution

The fourth proportional to 16,744, 23,107.44 and 9,292 is: 12,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744 : 23,107.44 = 9,292 : x
  2. Step 2: Convert to fraction form
    16,744/23,107.44 = 9,292/x
  3. Step 3: Cross multiply
    16,744x = 23,107.44 × 9,292
  4. Step 4: Simplify right side
    16,744x = 214,714,332.48
  5. Step 5: Solve for x
    x = 214,714,332.48/16,744
  6. Step 6: Final answer
    x = 12,823.36

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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.