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Finding the Fourth Proportional to 19,855.40, 29,775.74 and 5,812.56

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Solution

The fourth proportional to 19,855.40, 29,775.74 and 5,812.56 is: 8,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.40 : 29,775.74 = 5,812.56 : x
  2. Step 2: Convert to fraction form
    19,855.40/29,775.74 = 5,812.56/x
  3. Step 3: Cross multiply
    19,855.40x = 29,775.74 × 5,812.56
  4. Step 4: Simplify right side
    19,855.40x = 173,073,246.23
  5. Step 5: Solve for x
    x = 173,073,246.23/19,855.40
  6. Step 6: Final answer
    x = 8,716.69

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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.