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Finding the Fourth Proportional to 13,019.59, 17,968.82 and 7,982.92

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Solution

The fourth proportional to 13,019.59, 17,968.82 and 7,982.92 is: 11,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.59 : 17,968.82 = 7,982.92 : x
  2. Step 2: Convert to fraction form
    13,019.59/17,968.82 = 7,982.92/x
  3. Step 3: Cross multiply
    13,019.59x = 17,968.82 × 7,982.92
  4. Step 4: Simplify right side
    13,019.59x = 143,443,652.55
  5. Step 5: Solve for x
    x = 143,443,652.55/13,019.59
  6. Step 6: Final answer
    x = 11,017.52

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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.