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Finding the Fourth Proportional to 13,016.82, 17,967.76 and 8,300.18

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Solution

The fourth proportional to 13,016.82, 17,967.76 and 8,300.18 is: 11,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.82 : 17,967.76 = 8,300.18 : x
  2. Step 2: Convert to fraction form
    13,016.82/17,967.76 = 8,300.18/x
  3. Step 3: Cross multiply
    13,016.82x = 17,967.76 × 8,300.18
  4. Step 4: Simplify right side
    13,016.82x = 149,135,642.20
  5. Step 5: Solve for x
    x = 149,135,642.20/13,016.82
  6. Step 6: Final answer
    x = 11,457.15

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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.