Home / 20,813.73-31,206-7,664.37

Finding the Fourth Proportional to 20,813.73, 31,206 and 7,664.37

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Solution

The fourth proportional to 20,813.73, 31,206 and 7,664.37 is: 11,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.73 : 31,206 = 7,664.37 : x
  2. Step 2: Convert to fraction form
    20,813.73/31,206 = 7,664.37/x
  3. Step 3: Cross multiply
    20,813.73x = 31,206 × 7,664.37
  4. Step 4: Simplify right side
    20,813.73x = 239,174,330.22
  5. Step 5: Solve for x
    x = 239,174,330.22/20,813.73
  6. Step 6: Final answer
    x = 11,491.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.