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Finding the Fourth Proportional to 12,333.60, 17,012.16 and 7,611.84

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Solution

The fourth proportional to 12,333.60, 17,012.16 and 7,611.84 is: 10,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.60 : 17,012.16 = 7,611.84 : x
  2. Step 2: Convert to fraction form
    12,333.60/17,012.16 = 7,611.84/x
  3. Step 3: Cross multiply
    12,333.60x = 17,012.16 × 7,611.84
  4. Step 4: Simplify right side
    12,333.60x = 129,493,839.97
  5. Step 5: Solve for x
    x = 129,493,839.97/12,333.60
  6. Step 6: Final answer
    x = 10,499.27

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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.