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Finding the Fourth Proportional to 18,665.66, 25,757.43 and 10,282.16

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Solution

The fourth proportional to 18,665.66, 25,757.43 and 10,282.16 is: 14,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.66 : 25,757.43 = 10,282.16 : x
  2. Step 2: Convert to fraction form
    18,665.66/25,757.43 = 10,282.16/x
  3. Step 3: Cross multiply
    18,665.66x = 25,757.43 × 10,282.16
  4. Step 4: Simplify right side
    18,665.66x = 264,841,887.66
  5. Step 5: Solve for x
    x = 264,841,887.66/18,665.66
  6. Step 6: Final answer
    x = 14,188.73

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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.