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Finding the Fourth Proportional to 20,959.25, 31,441.99 and 6,920.76

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Solution

The fourth proportional to 20,959.25, 31,441.99 and 6,920.76 is: 10,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.25 : 31,441.99 = 6,920.76 : x
  2. Step 2: Convert to fraction form
    20,959.25/31,441.99 = 6,920.76/x
  3. Step 3: Cross multiply
    20,959.25x = 31,441.99 × 6,920.76
  4. Step 4: Simplify right side
    20,959.25x = 217,602,403.43
  5. Step 5: Solve for x
    x = 217,602,403.43/20,959.25
  6. Step 6: Final answer
    x = 10,382.17

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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.