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Finding the Fourth Proportional to 13,866.49, 20,796 and 6,463.72

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Solution

The fourth proportional to 13,866.49, 20,796 and 6,463.72 is: 9,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.49 : 20,796 = 6,463.72 : x
  2. Step 2: Convert to fraction form
    13,866.49/20,796 = 6,463.72/x
  3. Step 3: Cross multiply
    13,866.49x = 20,796 × 6,463.72
  4. Step 4: Simplify right side
    13,866.49x = 134,419,521.12
  5. Step 5: Solve for x
    x = 134,419,521.12/13,866.49
  6. Step 6: Final answer
    x = 9,693.84

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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.