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Finding the Fourth Proportional to 12,796.31, 17,661.17 and 9,582.23

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Solution

The fourth proportional to 12,796.31, 17,661.17 and 9,582.23 is: 13,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.31 : 17,661.17 = 9,582.23 : x
  2. Step 2: Convert to fraction form
    12,796.31/17,661.17 = 9,582.23/x
  3. Step 3: Cross multiply
    12,796.31x = 17,661.17 × 9,582.23
  4. Step 4: Simplify right side
    12,796.31x = 169,233,393.01
  5. Step 5: Solve for x
    x = 169,233,393.01/12,796.31
  6. Step 6: Final answer
    x = 13,225.17

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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.