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Finding the Fourth Proportional to 30,269.80, 45,383.10 and 13,616.20

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Solution

The fourth proportional to 30,269.80, 45,383.10 and 13,616.20 is: 20,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.80 : 45,383.10 = 13,616.20 : x
  2. Step 2: Convert to fraction form
    30,269.80/45,383.10 = 13,616.20/x
  3. Step 3: Cross multiply
    30,269.80x = 45,383.10 × 13,616.20
  4. Step 4: Simplify right side
    30,269.80x = 617,945,366.22
  5. Step 5: Solve for x
    x = 617,945,366.22/30,269.80
  6. Step 6: Final answer
    x = 20,414.58

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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.