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Finding the Fourth Proportional to 20,997.94, 31,498.58 and 6,957.40

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Solution

The fourth proportional to 20,997.94, 31,498.58 and 6,957.40 is: 10,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.94 : 31,498.58 = 6,957.40 : x
  2. Step 2: Convert to fraction form
    20,997.94/31,498.58 = 6,957.40/x
  3. Step 3: Cross multiply
    20,997.94x = 31,498.58 × 6,957.40
  4. Step 4: Simplify right side
    20,997.94x = 219,148,220.49
  5. Step 5: Solve for x
    x = 219,148,220.49/20,997.94
  6. Step 6: Final answer
    x = 10,436.65

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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.