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Finding the Fourth Proportional to 20,635.44, 30,911.84 and 9,527.12

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Solution

The fourth proportional to 20,635.44, 30,911.84 and 9,527.12 is: 14,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.44 : 30,911.84 = 9,527.12 : x
  2. Step 2: Convert to fraction form
    20,635.44/30,911.84 = 9,527.12/x
  3. Step 3: Cross multiply
    20,635.44x = 30,911.84 × 9,527.12
  4. Step 4: Simplify right side
    20,635.44x = 294,500,809.10
  5. Step 5: Solve for x
    x = 294,500,809.10/20,635.44
  6. Step 6: Final answer
    x = 14,271.60

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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.