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Finding the Fourth Proportional to 18,781.10, 25,919.18 and 10,823.84

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Solution

The fourth proportional to 18,781.10, 25,919.18 and 10,823.84 is: 14,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781.10 : 25,919.18 = 10,823.84 : x
  2. Step 2: Convert to fraction form
    18,781.10/25,919.18 = 10,823.84/x
  3. Step 3: Cross multiply
    18,781.10x = 25,919.18 × 10,823.84
  4. Step 4: Simplify right side
    18,781.10x = 280,544,873.54
  5. Step 5: Solve for x
    x = 280,544,873.54/18,781.10
  6. Step 6: Final answer
    x = 14,937.62

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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.