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Finding the Fourth Proportional to 13,230.05, 18,256.90 and 7,261.82

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Solution

The fourth proportional to 13,230.05, 18,256.90 and 7,261.82 is: 10,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.05 : 18,256.90 = 7,261.82 : x
  2. Step 2: Convert to fraction form
    13,230.05/18,256.90 = 7,261.82/x
  3. Step 3: Cross multiply
    13,230.05x = 18,256.90 × 7,261.82
  4. Step 4: Simplify right side
    13,230.05x = 132,578,321.56
  5. Step 5: Solve for x
    x = 132,578,321.56/13,230.05
  6. Step 6: Final answer
    x = 10,021.00

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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.