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Finding the Fourth Proportional to 12,797.31, 17,662.55 and 9,583.23

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Solution

The fourth proportional to 12,797.31, 17,662.55 and 9,583.23 is: 13,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.31 : 17,662.55 = 9,583.23 : x
  2. Step 2: Convert to fraction form
    12,797.31/17,662.55 = 9,583.23/x
  3. Step 3: Cross multiply
    12,797.31x = 17,662.55 × 9,583.23
  4. Step 4: Simplify right side
    12,797.31x = 169,264,279.04
  5. Step 5: Solve for x
    x = 169,264,279.04/12,797.31
  6. Step 6: Final answer
    x = 13,226.55

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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.