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Finding the Fourth Proportional to 18,665.57, 25,758.49 and 10,282.07

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Solution

The fourth proportional to 18,665.57, 25,758.49 and 10,282.07 is: 14,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.57 : 25,758.49 = 10,282.07 : x
  2. Step 2: Convert to fraction form
    18,665.57/25,758.49 = 10,282.07/x
  3. Step 3: Cross multiply
    18,665.57x = 25,758.49 × 10,282.07
  4. Step 4: Simplify right side
    18,665.57x = 264,850,597.27
  5. Step 5: Solve for x
    x = 264,850,597.27/18,665.57
  6. Step 6: Final answer
    x = 14,189.26

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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.