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Finding the Fourth Proportional to 20,449.46, 30,676.02 and 7,301.95

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Solution

The fourth proportional to 20,449.46, 30,676.02 and 7,301.95 is: 10,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.46 : 30,676.02 = 7,301.95 : x
  2. Step 2: Convert to fraction form
    20,449.46/30,676.02 = 7,301.95/x
  3. Step 3: Cross multiply
    20,449.46x = 30,676.02 × 7,301.95
  4. Step 4: Simplify right side
    20,449.46x = 223,994,660.17
  5. Step 5: Solve for x
    x = 223,994,660.17/20,449.46
  6. Step 6: Final answer
    x = 10,953.57

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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.