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Finding the Fourth Proportional to 14,534.10, 20,057.10 and 8,246.46

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Solution

The fourth proportional to 14,534.10, 20,057.10 and 8,246.46 is: 11,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.10 : 20,057.10 = 8,246.46 : x
  2. Step 2: Convert to fraction form
    14,534.10/20,057.10 = 8,246.46/x
  3. Step 3: Cross multiply
    14,534.10x = 20,057.10 × 8,246.46
  4. Step 4: Simplify right side
    14,534.10x = 165,400,072.87
  5. Step 5: Solve for x
    x = 165,400,072.87/14,534.10
  6. Step 6: Final answer
    x = 11,380.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.