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Finding the Fourth Proportional to 13,228.98, 18,256.21 and 7,261.20

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Solution

The fourth proportional to 13,228.98, 18,256.21 and 7,261.20 is: 10,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.98 : 18,256.21 = 7,261.20 : x
  2. Step 2: Convert to fraction form
    13,228.98/18,256.21 = 7,261.20/x
  3. Step 3: Cross multiply
    13,228.98x = 18,256.21 × 7,261.20
  4. Step 4: Simplify right side
    13,228.98x = 132,561,992.05
  5. Step 5: Solve for x
    x = 132,561,992.05/13,228.98
  6. Step 6: Final answer
    x = 10,020.58

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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.