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Finding the Fourth Proportional to 20,811.30, 31,228.29 and 7,661.76

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Solution

The fourth proportional to 20,811.30, 31,228.29 and 7,661.76 is: 11,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.30 : 31,228.29 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    20,811.30/31,228.29 = 7,661.76/x
  3. Step 3: Cross multiply
    20,811.30x = 31,228.29 × 7,661.76
  4. Step 4: Simplify right side
    20,811.30x = 239,263,663.19
  5. Step 5: Solve for x
    x = 239,263,663.19/20,811.30
  6. Step 6: Final answer
    x = 11,496.81

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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.