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Finding the Fourth Proportional to 13,992.76, 20,980.02 and 6,493.24

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Solution

The fourth proportional to 13,992.76, 20,980.02 and 6,493.24 is: 9,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.76 : 20,980.02 = 6,493.24 : x
  2. Step 2: Convert to fraction form
    13,992.76/20,980.02 = 6,493.24/x
  3. Step 3: Cross multiply
    13,992.76x = 20,980.02 × 6,493.24
  4. Step 4: Simplify right side
    13,992.76x = 136,228,305.06
  5. Step 5: Solve for x
    x = 136,228,305.06/13,992.76
  6. Step 6: Final answer
    x = 9,735.63

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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.