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Finding the Fourth Proportional to 20,410.29, 30,616.02 and 5,619.42

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Solution

The fourth proportional to 20,410.29, 30,616.02 and 5,619.42 is: 8,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.29 : 30,616.02 = 5,619.42 : x
  2. Step 2: Convert to fraction form
    20,410.29/30,616.02 = 5,619.42/x
  3. Step 3: Cross multiply
    20,410.29x = 30,616.02 × 5,619.42
  4. Step 4: Simplify right side
    20,410.29x = 172,044,275.11
  5. Step 5: Solve for x
    x = 172,044,275.11/20,410.29
  6. Step 6: Final answer
    x = 8,429.29

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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.