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Finding the Fourth Proportional to 18,644.04, 27,966 and 12,782.88

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Solution

The fourth proportional to 18,644.04, 27,966 and 12,782.88 is: 19,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.04 : 27,966 = 12,782.88 : x
  2. Step 2: Convert to fraction form
    18,644.04/27,966 = 12,782.88/x
  3. Step 3: Cross multiply
    18,644.04x = 27,966 × 12,782.88
  4. Step 4: Simplify right side
    18,644.04x = 357,486,022.08
  5. Step 5: Solve for x
    x = 357,486,022.08/18,644.04
  6. Step 6: Final answer
    x = 19,174.28

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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.