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Finding the Fourth Proportional to 13,029.32, 17,980.80 and 7,996.32

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Solution

The fourth proportional to 13,029.32, 17,980.80 and 7,996.32 is: 11,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.32 : 17,980.80 = 7,996.32 : x
  2. Step 2: Convert to fraction form
    13,029.32/17,980.80 = 7,996.32/x
  3. Step 3: Cross multiply
    13,029.32x = 17,980.80 × 7,996.32
  4. Step 4: Simplify right side
    13,029.32x = 143,780,230.66
  5. Step 5: Solve for x
    x = 143,780,230.66/13,029.32
  6. Step 6: Final answer
    x = 11,035.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.