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Finding the Fourth Proportional to 15,846, 21,873.24 and 9,222

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Solution

The fourth proportional to 15,846, 21,873.24 and 9,222 is: 12,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846 : 21,873.24 = 9,222 : x
  2. Step 2: Convert to fraction form
    15,846/21,873.24 = 9,222/x
  3. Step 3: Cross multiply
    15,846x = 21,873.24 × 9,222
  4. Step 4: Simplify right side
    15,846x = 201,715,019.28
  5. Step 5: Solve for x
    x = 201,715,019.28/15,846
  6. Step 6: Final answer
    x = 12,729.71

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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.