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Finding the Fourth Proportional to 13,102.64, 18,076.30 and 8,065.34

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Solution

The fourth proportional to 13,102.64, 18,076.30 and 8,065.34 is: 11,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.64 : 18,076.30 = 8,065.34 : x
  2. Step 2: Convert to fraction form
    13,102.64/18,076.30 = 8,065.34/x
  3. Step 3: Cross multiply
    13,102.64x = 18,076.30 × 8,065.34
  4. Step 4: Simplify right side
    13,102.64x = 145,791,505.44
  5. Step 5: Solve for x
    x = 145,791,505.44/13,102.64
  6. Step 6: Final answer
    x = 11,126.88

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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.