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Finding the Fourth Proportional to 18,682.92, 25,781.14 and 10,507.75

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Solution

The fourth proportional to 18,682.92, 25,781.14 and 10,507.75 is: 14,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.92 : 25,781.14 = 10,507.75 : x
  2. Step 2: Convert to fraction form
    18,682.92/25,781.14 = 10,507.75/x
  3. Step 3: Cross multiply
    18,682.92x = 25,781.14 × 10,507.75
  4. Step 4: Simplify right side
    18,682.92x = 270,901,683.11
  5. Step 5: Solve for x
    x = 270,901,683.11/18,682.92
  6. Step 6: Final answer
    x = 14,499.96

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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.