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Finding the Fourth Proportional to 12,930.89, 19,404.83 and 7,091.60

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Solution

The fourth proportional to 12,930.89, 19,404.83 and 7,091.60 is: 10,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.89 : 19,404.83 = 7,091.60 : x
  2. Step 2: Convert to fraction form
    12,930.89/19,404.83 = 7,091.60/x
  3. Step 3: Cross multiply
    12,930.89x = 19,404.83 × 7,091.60
  4. Step 4: Simplify right side
    12,930.89x = 137,611,213.13
  5. Step 5: Solve for x
    x = 137,611,213.13/12,930.89
  6. Step 6: Final answer
    x = 10,642.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.