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Finding the Fourth Proportional to 28,121.76, 38,806.83 and 15,546.42

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Solution

The fourth proportional to 28,121.76, 38,806.83 and 15,546.42 is: 21,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,121.76 : 38,806.83 = 15,546.42 : x
  2. Step 2: Convert to fraction form
    28,121.76/38,806.83 = 15,546.42/x
  3. Step 3: Cross multiply
    28,121.76x = 38,806.83 × 15,546.42
  4. Step 4: Simplify right side
    28,121.76x = 603,307,278.05
  5. Step 5: Solve for x
    x = 603,307,278.05/28,121.76
  6. Step 6: Final answer
    x = 21,453.40

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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.