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Finding the Fourth Proportional to 12,329.31, 17,022.05 and 8,026.53

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Solution

The fourth proportional to 12,329.31, 17,022.05 and 8,026.53 is: 11,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.31 : 17,022.05 = 8,026.53 : x
  2. Step 2: Convert to fraction form
    12,329.31/17,022.05 = 8,026.53/x
  3. Step 3: Cross multiply
    12,329.31x = 17,022.05 × 8,026.53
  4. Step 4: Simplify right side
    12,329.31x = 136,627,954.85
  5. Step 5: Solve for x
    x = 136,627,954.85/12,329.31
  6. Step 6: Final answer
    x = 11,081.56

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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.