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Finding the Fourth Proportional to 12,400.80, 18,501 and 11,709.60

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Solution

The fourth proportional to 12,400.80, 18,501 and 11,709.60 is: 17,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.80 : 18,501 = 11,709.60 : x
  2. Step 2: Convert to fraction form
    12,400.80/18,501 = 11,709.60/x
  3. Step 3: Cross multiply
    12,400.80x = 18,501 × 11,709.60
  4. Step 4: Simplify right side
    12,400.80x = 216,639,309.60
  5. Step 5: Solve for x
    x = 216,639,309.60/12,400.80
  6. Step 6: Final answer
    x = 17,469.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.