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Finding the Fourth Proportional to 12,329.69, 17,022.56 and 8,026.90

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Solution

The fourth proportional to 12,329.69, 17,022.56 and 8,026.90 is: 11,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.69 : 17,022.56 = 8,026.90 : x
  2. Step 2: Convert to fraction form
    12,329.69/17,022.56 = 8,026.90/x
  3. Step 3: Cross multiply
    12,329.69x = 17,022.56 × 8,026.90
  4. Step 4: Simplify right side
    12,329.69x = 136,638,304.17
  5. Step 5: Solve for x
    x = 136,638,304.17/12,329.69
  6. Step 6: Final answer
    x = 11,082.06

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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.