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Finding the Fourth Proportional to 12,821.26, 17,693.76 and 7,443.28

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Solution

The fourth proportional to 12,821.26, 17,693.76 and 7,443.28 is: 10,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.26 : 17,693.76 = 7,443.28 : x
  2. Step 2: Convert to fraction form
    12,821.26/17,693.76 = 7,443.28/x
  3. Step 3: Cross multiply
    12,821.26x = 17,693.76 × 7,443.28
  4. Step 4: Simplify right side
    12,821.26x = 131,699,609.93
  5. Step 5: Solve for x
    x = 131,699,609.93/12,821.26
  6. Step 6: Final answer
    x = 10,271.97

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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.