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Finding the Fourth Proportional to 18,538.20, 27,758.70 and 14,617.80

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Solution

The fourth proportional to 18,538.20, 27,758.70 and 14,617.80 is: 21,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.20 : 27,758.70 = 14,617.80 : x
  2. Step 2: Convert to fraction form
    18,538.20/27,758.70 = 14,617.80/x
  3. Step 3: Cross multiply
    18,538.20x = 27,758.70 × 14,617.80
  4. Step 4: Simplify right side
    18,538.20x = 405,771,124.86
  5. Step 5: Solve for x
    x = 405,771,124.86/18,538.20
  6. Step 6: Final answer
    x = 21,888.38

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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.