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Finding the Fourth Proportional to 20,116, 30,180.48 and 10,246.96

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Solution

The fourth proportional to 20,116, 30,180.48 and 10,246.96 is: 15,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116 : 30,180.48 = 10,246.96 : x
  2. Step 2: Convert to fraction form
    20,116/30,180.48 = 10,246.96/x
  3. Step 3: Cross multiply
    20,116x = 30,180.48 × 10,246.96
  4. Step 4: Simplify right side
    20,116x = 309,258,171.34
  5. Step 5: Solve for x
    x = 309,258,171.34/20,116
  6. Step 6: Final answer
    x = 15,373.74

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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.