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Finding the Fourth Proportional to 12,949.12, 17,856 and 8,476.80

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Solution

The fourth proportional to 12,949.12, 17,856 and 8,476.80 is: 11,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.12 : 17,856 = 8,476.80 : x
  2. Step 2: Convert to fraction form
    12,949.12/17,856 = 8,476.80/x
  3. Step 3: Cross multiply
    12,949.12x = 17,856 × 8,476.80
  4. Step 4: Simplify right side
    12,949.12x = 151,361,740.80
  5. Step 5: Solve for x
    x = 151,361,740.80/12,949.12
  6. Step 6: Final answer
    x = 11,688.96

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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.