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Finding the Fourth Proportional to 20,497.65, 28,286.48 and 11,546.04

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Solution

The fourth proportional to 20,497.65, 28,286.48 and 11,546.04 is: 15,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.65 : 28,286.48 = 11,546.04 : x
  2. Step 2: Convert to fraction form
    20,497.65/28,286.48 = 11,546.04/x
  3. Step 3: Cross multiply
    20,497.65x = 28,286.48 × 11,546.04
  4. Step 4: Simplify right side
    20,497.65x = 326,596,771.81
  5. Step 5: Solve for x
    x = 326,596,771.81/20,497.65
  6. Step 6: Final answer
    x = 15,933.38

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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.