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Finding the Fourth Proportional to 12,821.22, 17,693.42 and 7,516.13

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Solution

The fourth proportional to 12,821.22, 17,693.42 and 7,516.13 is: 10,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.22 : 17,693.42 = 7,516.13 : x
  2. Step 2: Convert to fraction form
    12,821.22/17,693.42 = 7,516.13/x
  3. Step 3: Cross multiply
    12,821.22x = 17,693.42 × 7,516.13
  4. Step 4: Simplify right side
    12,821.22x = 132,985,918.82
  5. Step 5: Solve for x
    x = 132,985,918.82/12,821.22
  6. Step 6: Final answer
    x = 10,372.33

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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.