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Finding the Fourth Proportional to 19,855.68, 29,785.44 and 5,624.20

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Solution

The fourth proportional to 19,855.68, 29,785.44 and 5,624.20 is: 8,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.68 : 29,785.44 = 5,624.20 : x
  2. Step 2: Convert to fraction form
    19,855.68/29,785.44 = 5,624.20/x
  3. Step 3: Cross multiply
    19,855.68x = 29,785.44 × 5,624.20
  4. Step 4: Simplify right side
    19,855.68x = 167,519,271.65
  5. Step 5: Solve for x
    x = 167,519,271.65/19,855.68
  6. Step 6: Final answer
    x = 8,436.84

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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.