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Finding the Fourth Proportional to 11,809.80, 16,191.70 and 11,599.00

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Solution

The fourth proportional to 11,809.80, 16,191.70 and 11,599.00 is: 15,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.80 : 16,191.70 = 11,599.00 : x
  2. Step 2: Convert to fraction form
    11,809.80/16,191.70 = 11,599.00/x
  3. Step 3: Cross multiply
    11,809.80x = 16,191.70 × 11,599.00
  4. Step 4: Simplify right side
    11,809.80x = 187,807,458.82
  5. Step 5: Solve for x
    x = 187,807,458.82/11,809.80
  6. Step 6: Final answer
    x = 15,902.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.