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Finding the Fourth Proportional to 13,796.54, 20,678.61 and 6,385.34

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Solution

The fourth proportional to 13,796.54, 20,678.61 and 6,385.34 is: 9,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.54 : 20,678.61 = 6,385.34 : x
  2. Step 2: Convert to fraction form
    13,796.54/20,678.61 = 6,385.34/x
  3. Step 3: Cross multiply
    13,796.54x = 20,678.61 × 6,385.34
  4. Step 4: Simplify right side
    13,796.54x = 132,039,955.58
  5. Step 5: Solve for x
    x = 132,039,955.58/13,796.54
  6. Step 6: Final answer
    x = 9,570.51

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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.