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Finding the Fourth Proportional to 20,525.46, 30,775.89 and 9,974.72

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Solution

The fourth proportional to 20,525.46, 30,775.89 and 9,974.72 is: 14,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.46 : 30,775.89 = 9,974.72 : x
  2. Step 2: Convert to fraction form
    20,525.46/30,775.89 = 9,974.72/x
  3. Step 3: Cross multiply
    20,525.46x = 30,775.89 × 9,974.72
  4. Step 4: Simplify right side
    20,525.46x = 306,980,731.62
  5. Step 5: Solve for x
    x = 306,980,731.62/20,525.46
  6. Step 6: Final answer
    x = 14,956.10

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