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Finding the Fourth Proportional to 13,012.26, 17,957.43 and 7,348.20

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Solution

The fourth proportional to 13,012.26, 17,957.43 and 7,348.20 is: 10,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.26 : 17,957.43 = 7,348.20 : x
  2. Step 2: Convert to fraction form
    13,012.26/17,957.43 = 7,348.20/x
  3. Step 3: Cross multiply
    13,012.26x = 17,957.43 × 7,348.20
  4. Step 4: Simplify right side
    13,012.26x = 131,954,787.13
  5. Step 5: Solve for x
    x = 131,954,787.13/13,012.26
  6. Step 6: Final answer
    x = 10,140.80

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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.