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Finding the Fourth Proportional to 20,671.33, 31,007 and 6,632.82

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Solution

The fourth proportional to 20,671.33, 31,007 and 6,632.82 is: 9,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.33 : 31,007 = 6,632.82 : x
  2. Step 2: Convert to fraction form
    20,671.33/31,007 = 6,632.82/x
  3. Step 3: Cross multiply
    20,671.33x = 31,007 × 6,632.82
  4. Step 4: Simplify right side
    20,671.33x = 205,663,849.74
  5. Step 5: Solve for x
    x = 205,663,849.74/20,671.33
  6. Step 6: Final answer
    x = 9,949.23

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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.