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Finding the Fourth Proportional to 13,014.60, 17,961.50 and 7,982.16

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Solution

The fourth proportional to 13,014.60, 17,961.50 and 7,982.16 is: 11,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.60 : 17,961.50 = 7,982.16 : x
  2. Step 2: Convert to fraction form
    13,014.60/17,961.50 = 7,982.16/x
  3. Step 3: Cross multiply
    13,014.60x = 17,961.50 × 7,982.16
  4. Step 4: Simplify right side
    13,014.60x = 143,371,566.84
  5. Step 5: Solve for x
    x = 143,371,566.84/13,014.60
  6. Step 6: Final answer
    x = 11,016.21

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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.