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Finding the Fourth Proportional to 15,728.38, 21,709.42 and 9,273.65

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Solution

The fourth proportional to 15,728.38, 21,709.42 and 9,273.65 is: 12,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.38 : 21,709.42 = 9,273.65 : x
  2. Step 2: Convert to fraction form
    15,728.38/21,709.42 = 9,273.65/x
  3. Step 3: Cross multiply
    15,728.38x = 21,709.42 × 9,273.65
  4. Step 4: Simplify right side
    15,728.38x = 201,325,431.05
  5. Step 5: Solve for x
    x = 201,325,431.05/15,728.38
  6. Step 6: Final answer
    x = 12,800.14

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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.