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Finding the Fourth Proportional to 20,796, 31,184.28 and 6,935.28

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Solution

The fourth proportional to 20,796, 31,184.28 and 6,935.28 is: 10,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796 : 31,184.28 = 6,935.28 : x
  2. Step 2: Convert to fraction form
    20,796/31,184.28 = 6,935.28/x
  3. Step 3: Cross multiply
    20,796x = 31,184.28 × 6,935.28
  4. Step 4: Simplify right side
    20,796x = 216,271,713.40
  5. Step 5: Solve for x
    x = 216,271,713.40/20,796
  6. Step 6: Final answer
    x = 10,399.68

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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.