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Finding the Fourth Proportional to 20,477.07, 30,716.19 and 5,687.07

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Solution

The fourth proportional to 20,477.07, 30,716.19 and 5,687.07 is: 8,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.07 : 30,716.19 = 5,687.07 : x
  2. Step 2: Convert to fraction form
    20,477.07/30,716.19 = 5,687.07/x
  3. Step 3: Cross multiply
    20,477.07x = 30,716.19 × 5,687.07
  4. Step 4: Simplify right side
    20,477.07x = 174,685,122.66
  5. Step 5: Solve for x
    x = 174,685,122.66/20,477.07
  6. Step 6: Final answer
    x = 8,530.77

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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.