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Finding the Fourth Proportional to 12,209.76, 16,851.60 and 6,906.24

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Solution

The fourth proportional to 12,209.76, 16,851.60 and 6,906.24 is: 9,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.76 : 16,851.60 = 6,906.24 : x
  2. Step 2: Convert to fraction form
    12,209.76/16,851.60 = 6,906.24/x
  3. Step 3: Cross multiply
    12,209.76x = 16,851.60 × 6,906.24
  4. Step 4: Simplify right side
    12,209.76x = 116,381,193.98
  5. Step 5: Solve for x
    x = 116,381,193.98/12,209.76
  6. Step 6: Final answer
    x = 9,531.82

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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.