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Finding the Fourth Proportional to 20,480.01, 30,709.08 and 6,437.46

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Solution

The fourth proportional to 20,480.01, 30,709.08 and 6,437.46 is: 9,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.01 : 30,709.08 = 6,437.46 : x
  2. Step 2: Convert to fraction form
    20,480.01/30,709.08 = 6,437.46/x
  3. Step 3: Cross multiply
    20,480.01x = 30,709.08 × 6,437.46
  4. Step 4: Simplify right side
    20,480.01x = 197,688,474.14
  5. Step 5: Solve for x
    x = 197,688,474.14/20,480.01
  6. Step 6: Final answer
    x = 9,652.75

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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.