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Finding the Fourth Proportional to 16,725, 23,080.56 and 9,273

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Solution

The fourth proportional to 16,725, 23,080.56 and 9,273 is: 12,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725 : 23,080.56 = 9,273 : x
  2. Step 2: Convert to fraction form
    16,725/23,080.56 = 9,273/x
  3. Step 3: Cross multiply
    16,725x = 23,080.56 × 9,273
  4. Step 4: Simplify right side
    16,725x = 214,026,032.88
  5. Step 5: Solve for x
    x = 214,026,032.88/16,725
  6. Step 6: Final answer
    x = 12,796.77

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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.