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Finding the Fourth Proportional to 18,434.14, 27,651.20 and 5,956

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Solution

The fourth proportional to 18,434.14, 27,651.20 and 5,956 is: 8,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434.14 : 27,651.20 = 5,956 : x
  2. Step 2: Convert to fraction form
    18,434.14/27,651.20 = 5,956/x
  3. Step 3: Cross multiply
    18,434.14x = 27,651.20 × 5,956
  4. Step 4: Simplify right side
    18,434.14x = 164,690,547.20
  5. Step 5: Solve for x
    x = 164,690,547.20/18,434.14
  6. Step 6: Final answer
    x = 8,934.00

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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.