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Finding the Fourth Proportional to 13,427.28, 18,521.28 and 9,228.24

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Solution

The fourth proportional to 13,427.28, 18,521.28 and 9,228.24 is: 12,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.28 : 18,521.28 = 9,228.24 : x
  2. Step 2: Convert to fraction form
    13,427.28/18,521.28 = 9,228.24/x
  3. Step 3: Cross multiply
    13,427.28x = 18,521.28 × 9,228.24
  4. Step 4: Simplify right side
    13,427.28x = 170,918,816.95
  5. Step 5: Solve for x
    x = 170,918,816.95/13,427.28
  6. Step 6: Final answer
    x = 12,729.22

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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.