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Finding the Fourth Proportional to 17,811.96, 26,709.31 and 7,277.80

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Solution

The fourth proportional to 17,811.96, 26,709.31 and 7,277.80 is: 10,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.96 : 26,709.31 = 7,277.80 : x
  2. Step 2: Convert to fraction form
    17,811.96/26,709.31 = 7,277.80/x
  3. Step 3: Cross multiply
    17,811.96x = 26,709.31 × 7,277.80
  4. Step 4: Simplify right side
    17,811.96x = 194,384,933.60
  5. Step 5: Solve for x
    x = 194,384,933.60/17,811.96
  6. Step 6: Final answer
    x = 10,913.17

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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.