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Finding the Fourth Proportional to 28,546.80, 42,824.76 and 8,820.72

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Solution

The fourth proportional to 28,546.80, 42,824.76 and 8,820.72 is: 13,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546.80 : 42,824.76 = 8,820.72 : x
  2. Step 2: Convert to fraction form
    28,546.80/42,824.76 = 8,820.72/x
  3. Step 3: Cross multiply
    28,546.80x = 42,824.76 × 8,820.72
  4. Step 4: Simplify right side
    28,546.80x = 377,745,217.03
  5. Step 5: Solve for x
    x = 377,745,217.03/28,546.80
  6. Step 6: Final answer
    x = 13,232.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.