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Finding the Fourth Proportional to 12,805.57, 17,673.20 and 7,141.24

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Solution

The fourth proportional to 12,805.57, 17,673.20 and 7,141.24 is: 9,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.57 : 17,673.20 = 7,141.24 : x
  2. Step 2: Convert to fraction form
    12,805.57/17,673.20 = 7,141.24/x
  3. Step 3: Cross multiply
    12,805.57x = 17,673.20 × 7,141.24
  4. Step 4: Simplify right side
    12,805.57x = 126,208,562.77
  5. Step 5: Solve for x
    x = 126,208,562.77/12,805.57
  6. Step 6: Final answer
    x = 9,855.76

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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.