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Finding the Fourth Proportional to 27,286.94, 40,871 and 16,725

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Solution

The fourth proportional to 27,286.94, 40,871 and 16,725 is: 25,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.94 : 40,871 = 16,725 : x
  2. Step 2: Convert to fraction form
    27,286.94/40,871 = 16,725/x
  3. Step 3: Cross multiply
    27,286.94x = 40,871 × 16,725
  4. Step 4: Simplify right side
    27,286.94x = 683,567,475
  5. Step 5: Solve for x
    x = 683,567,475/27,286.94
  6. Step 6: Final answer
    x = 25,051.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.