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Finding the Fourth Proportional to 20,409.19, 30,614.57 and 5,619.26

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Solution

The fourth proportional to 20,409.19, 30,614.57 and 5,619.26 is: 8,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.19 : 30,614.57 = 5,619.26 : x
  2. Step 2: Convert to fraction form
    20,409.19/30,614.57 = 5,619.26/x
  3. Step 3: Cross multiply
    20,409.19x = 30,614.57 × 5,619.26
  4. Step 4: Simplify right side
    20,409.19x = 172,031,228.62
  5. Step 5: Solve for x
    x = 172,031,228.62/20,409.19
  6. Step 6: Final answer
    x = 8,429.11

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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.