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Finding the Fourth Proportional to 20,210.08, 30,296.88 and 8,524

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Solution

The fourth proportional to 20,210.08, 30,296.88 and 8,524 is: 12,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.08 : 30,296.88 = 8,524 : x
  2. Step 2: Convert to fraction form
    20,210.08/30,296.88 = 8,524/x
  3. Step 3: Cross multiply
    20,210.08x = 30,296.88 × 8,524
  4. Step 4: Simplify right side
    20,210.08x = 258,250,605.12
  5. Step 5: Solve for x
    x = 258,250,605.12/20,210.08
  6. Step 6: Final answer
    x = 12,778.31

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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.