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Finding the Fourth Proportional to 15,907, 21,951.66 and 10,318

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Solution

The fourth proportional to 15,907, 21,951.66 and 10,318 is: 14,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907 : 21,951.66 = 10,318 : x
  2. Step 2: Convert to fraction form
    15,907/21,951.66 = 10,318/x
  3. Step 3: Cross multiply
    15,907x = 21,951.66 × 10,318
  4. Step 4: Simplify right side
    15,907x = 226,497,227.88
  5. Step 5: Solve for x
    x = 226,497,227.88/15,907
  6. Step 6: Final answer
    x = 14,238.84

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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.