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Finding the Fourth Proportional to 12,313.20, 16,980.68 and 9,803.60

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Solution

The fourth proportional to 12,313.20, 16,980.68 and 9,803.60 is: 13,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.20 : 16,980.68 = 9,803.60 : x
  2. Step 2: Convert to fraction form
    12,313.20/16,980.68 = 9,803.60/x
  3. Step 3: Cross multiply
    12,313.20x = 16,980.68 × 9,803.60
  4. Step 4: Simplify right side
    12,313.20x = 166,471,709.54
  5. Step 5: Solve for x
    x = 166,471,709.54/12,313.20
  6. Step 6: Final answer
    x = 13,519.78

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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.