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Finding the Fourth Proportional to 20,797.48, 31,197.90 and 6,946.52

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Solution

The fourth proportional to 20,797.48, 31,197.90 and 6,946.52 is: 10,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.48 : 31,197.90 = 6,946.52 : x
  2. Step 2: Convert to fraction form
    20,797.48/31,197.90 = 6,946.52/x
  3. Step 3: Cross multiply
    20,797.48x = 31,197.90 × 6,946.52
  4. Step 4: Simplify right side
    20,797.48x = 216,716,836.31
  5. Step 5: Solve for x
    x = 216,716,836.31/20,797.48
  6. Step 6: Final answer
    x = 10,420.34

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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.