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Finding the Fourth Proportional to 13,021.29, 17,969.39 and 7,052.94

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Solution

The fourth proportional to 13,021.29, 17,969.39 and 7,052.94 is: 9,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.29 : 17,969.39 = 7,052.94 : x
  2. Step 2: Convert to fraction form
    13,021.29/17,969.39 = 7,052.94/x
  3. Step 3: Cross multiply
    13,021.29x = 17,969.39 × 7,052.94
  4. Step 4: Simplify right side
    13,021.29x = 126,737,065.61
  5. Step 5: Solve for x
    x = 126,737,065.61/13,021.29
  6. Step 6: Final answer
    x = 9,733.06

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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.