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Finding the Fourth Proportional to 12,177.34, 18,230.41 and 11,010.03

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Solution

The fourth proportional to 12,177.34, 18,230.41 and 11,010.03 is: 16,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.34 : 18,230.41 = 11,010.03 : x
  2. Step 2: Convert to fraction form
    12,177.34/18,230.41 = 11,010.03/x
  3. Step 3: Cross multiply
    12,177.34x = 18,230.41 × 11,010.03
  4. Step 4: Simplify right side
    12,177.34x = 200,717,361.01
  5. Step 5: Solve for x
    x = 200,717,361.01/12,177.34
  6. Step 6: Final answer
    x = 16,482.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.