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Finding the Fourth Proportional to 13,012.34, 17,952.82 and 7,971.30

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Solution

The fourth proportional to 13,012.34, 17,952.82 and 7,971.30 is: 10,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.34 : 17,952.82 = 7,971.30 : x
  2. Step 2: Convert to fraction form
    13,012.34/17,952.82 = 7,971.30/x
  3. Step 3: Cross multiply
    13,012.34x = 17,952.82 × 7,971.30
  4. Step 4: Simplify right side
    13,012.34x = 143,107,314.07
  5. Step 5: Solve for x
    x = 143,107,314.07/13,012.34
  6. Step 6: Final answer
    x = 10,997.82

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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.