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Finding the Fourth Proportional to 20,530.56, 30,798.72 and 6,485.84

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Solution

The fourth proportional to 20,530.56, 30,798.72 and 6,485.84 is: 9,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.56 : 30,798.72 = 6,485.84 : x
  2. Step 2: Convert to fraction form
    20,530.56/30,798.72 = 6,485.84/x
  3. Step 3: Cross multiply
    20,530.56x = 30,798.72 × 6,485.84
  4. Step 4: Simplify right side
    20,530.56x = 199,755,570.12
  5. Step 5: Solve for x
    x = 199,755,570.12/20,530.56
  6. Step 6: Final answer
    x = 9,729.67

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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.