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Finding the Fourth Proportional to 12,704.67, 17,533.80 and 7,039.89

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Solution

The fourth proportional to 12,704.67, 17,533.80 and 7,039.89 is: 9,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.67 : 17,533.80 = 7,039.89 : x
  2. Step 2: Convert to fraction form
    12,704.67/17,533.80 = 7,039.89/x
  3. Step 3: Cross multiply
    12,704.67x = 17,533.80 × 7,039.89
  4. Step 4: Simplify right side
    12,704.67x = 123,436,023.28
  5. Step 5: Solve for x
    x = 123,436,023.28/12,704.67
  6. Step 6: Final answer
    x = 9,715.80

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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.