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Finding the Fourth Proportional to 13,383.97, 20,077.32 and 4,617.74

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Solution

The fourth proportional to 13,383.97, 20,077.32 and 4,617.74 is: 6,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.97 : 20,077.32 = 4,617.74 : x
  2. Step 2: Convert to fraction form
    13,383.97/20,077.32 = 4,617.74/x
  3. Step 3: Cross multiply
    13,383.97x = 20,077.32 × 4,617.74
  4. Step 4: Simplify right side
    13,383.97x = 92,711,843.66
  5. Step 5: Solve for x
    x = 92,711,843.66/13,383.97
  6. Step 6: Final answer
    x = 6,927.08

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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.