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Finding the Fourth Proportional to 12,704.80, 17,533.67 and 7,040.12

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Solution

The fourth proportional to 12,704.80, 17,533.67 and 7,040.12 is: 9,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.80 : 17,533.67 = 7,040.12 : x
  2. Step 2: Convert to fraction form
    12,704.80/17,533.67 = 7,040.12/x
  3. Step 3: Cross multiply
    12,704.80x = 17,533.67 × 7,040.12
  4. Step 4: Simplify right side
    12,704.80x = 123,439,017.97
  5. Step 5: Solve for x
    x = 123,439,017.97/12,704.80
  6. Step 6: Final answer
    x = 9,715.94

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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.