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Finding the Fourth Proportional to 20,415.10, 30,622.79 and 5,624.82

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Solution

The fourth proportional to 20,415.10, 30,622.79 and 5,624.82 is: 8,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.10 : 30,622.79 = 5,624.82 : x
  2. Step 2: Convert to fraction form
    20,415.10/30,622.79 = 5,624.82/x
  3. Step 3: Cross multiply
    20,415.10x = 30,622.79 × 5,624.82
  4. Step 4: Simplify right side
    20,415.10x = 172,247,681.65
  5. Step 5: Solve for x
    x = 172,247,681.65/20,415.10
  6. Step 6: Final answer
    x = 8,437.27

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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.