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Finding the Fourth Proportional to 12,209.10, 16,847.64 and 8,235.60

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Solution

The fourth proportional to 12,209.10, 16,847.64 and 8,235.60 is: 11,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.10 : 16,847.64 = 8,235.60 : x
  2. Step 2: Convert to fraction form
    12,209.10/16,847.64 = 8,235.60/x
  3. Step 3: Cross multiply
    12,209.10x = 16,847.64 × 8,235.60
  4. Step 4: Simplify right side
    12,209.10x = 138,750,423.98
  5. Step 5: Solve for x
    x = 138,750,423.98/12,209.10
  6. Step 6: Final answer
    x = 11,364.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.