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Finding the Fourth Proportional to 12,982.68, 17,916.12 and 7,393.68

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Solution

The fourth proportional to 12,982.68, 17,916.12 and 7,393.68 is: 10,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.68 : 17,916.12 = 7,393.68 : x
  2. Step 2: Convert to fraction form
    12,982.68/17,916.12 = 7,393.68/x
  3. Step 3: Cross multiply
    12,982.68x = 17,916.12 × 7,393.68
  4. Step 4: Simplify right side
    12,982.68x = 132,466,058.12
  5. Step 5: Solve for x
    x = 132,466,058.12/12,982.68
  6. Step 6: Final answer
    x = 10,203.29

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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.