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Finding the Fourth Proportional to 13,228.91, 18,256.12 and 7,261.14

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Solution

The fourth proportional to 13,228.91, 18,256.12 and 7,261.14 is: 10,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.91 : 18,256.12 = 7,261.14 : x
  2. Step 2: Convert to fraction form
    13,228.91/18,256.12 = 7,261.14/x
  3. Step 3: Cross multiply
    13,228.91x = 18,256.12 × 7,261.14
  4. Step 4: Simplify right side
    13,228.91x = 132,560,243.18
  5. Step 5: Solve for x
    x = 132,560,243.18/13,228.91
  6. Step 6: Final answer
    x = 10,020.50

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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.