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Finding the Fourth Proportional to 13,029.97, 17,981.70 and 7,996.98

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Solution

The fourth proportional to 13,029.97, 17,981.70 and 7,996.98 is: 11,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.97 : 17,981.70 = 7,996.98 : x
  2. Step 2: Convert to fraction form
    13,029.97/17,981.70 = 7,996.98/x
  3. Step 3: Cross multiply
    13,029.97x = 17,981.70 × 7,996.98
  4. Step 4: Simplify right side
    13,029.97x = 143,799,295.27
  5. Step 5: Solve for x
    x = 143,799,295.27/13,029.97
  6. Step 6: Final answer
    x = 11,036.04

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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.