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Finding the Fourth Proportional to 20,073.12, 30,104.16 and 8,384.40

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Solution

The fourth proportional to 20,073.12, 30,104.16 and 8,384.40 is: 12,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.12 : 30,104.16 = 8,384.40 : x
  2. Step 2: Convert to fraction form
    20,073.12/30,104.16 = 8,384.40/x
  3. Step 3: Cross multiply
    20,073.12x = 30,104.16 × 8,384.40
  4. Step 4: Simplify right side
    20,073.12x = 252,405,319.10
  5. Step 5: Solve for x
    x = 252,405,319.10/20,073.12
  6. Step 6: Final answer
    x = 12,574.29

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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.