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Finding the Fourth Proportional to 20,858.81, 31,268.77 and 7,707.65

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Solution

The fourth proportional to 20,858.81, 31,268.77 and 7,707.65 is: 11,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.81 : 31,268.77 = 7,707.65 : x
  2. Step 2: Convert to fraction form
    20,858.81/31,268.77 = 7,707.65/x
  3. Step 3: Cross multiply
    20,858.81x = 31,268.77 × 7,707.65
  4. Step 4: Simplify right side
    20,858.81x = 241,008,559.48
  5. Step 5: Solve for x
    x = 241,008,559.48/20,858.81
  6. Step 6: Final answer
    x = 11,554.28

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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.