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Finding the Fourth Proportional to 12,209.60, 16,850.51 and 7,429.90

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Solution

The fourth proportional to 12,209.60, 16,850.51 and 7,429.90 is: 10,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.60 : 16,850.51 = 7,429.90 : x
  2. Step 2: Convert to fraction form
    12,209.60/16,850.51 = 7,429.90/x
  3. Step 3: Cross multiply
    12,209.60x = 16,850.51 × 7,429.90
  4. Step 4: Simplify right side
    12,209.60x = 125,197,604.25
  5. Step 5: Solve for x
    x = 125,197,604.25/12,209.60
  6. Step 6: Final answer
    x = 10,254.03

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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.