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Finding the Fourth Proportional to 13,014.88, 17,968.23 and 8,546.45

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Solution

The fourth proportional to 13,014.88, 17,968.23 and 8,546.45 is: 11,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.88 : 17,968.23 = 8,546.45 : x
  2. Step 2: Convert to fraction form
    13,014.88/17,968.23 = 8,546.45/x
  3. Step 3: Cross multiply
    13,014.88x = 17,968.23 × 8,546.45
  4. Step 4: Simplify right side
    13,014.88x = 153,564,489.44
  5. Step 5: Solve for x
    x = 153,564,489.44/13,014.88
  6. Step 6: Final answer
    x = 11,799.15

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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.