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Finding the Fourth Proportional to 20,415.78, 30,624.72 and 5,624.37

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Solution

The fourth proportional to 20,415.78, 30,624.72 and 5,624.37 is: 8,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.78 : 30,624.72 = 5,624.37 : x
  2. Step 2: Convert to fraction form
    20,415.78/30,624.72 = 5,624.37/x
  3. Step 3: Cross multiply
    20,415.78x = 30,624.72 × 5,624.37
  4. Step 4: Simplify right side
    20,415.78x = 172,244,735.34
  5. Step 5: Solve for x
    x = 172,244,735.34/20,415.78
  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.