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Finding the Fourth Proportional to 13,427.64, 18,527.13 and 8,122.41

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Solution

The fourth proportional to 13,427.64, 18,527.13 and 8,122.41 is: 11,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.64 : 18,527.13 = 8,122.41 : x
  2. Step 2: Convert to fraction form
    13,427.64/18,527.13 = 8,122.41/x
  3. Step 3: Cross multiply
    13,427.64x = 18,527.13 × 8,122.41
  4. Step 4: Simplify right side
    13,427.64x = 150,484,945.98
  5. Step 5: Solve for x
    x = 150,484,945.98/13,427.64
  6. Step 6: Final answer
    x = 11,207.10

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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.