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Finding the Fourth Proportional to 12,023.88, 16,593.87 and 6,920.97

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Solution

The fourth proportional to 12,023.88, 16,593.87 and 6,920.97 is: 9,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.88 : 16,593.87 = 6,920.97 : x
  2. Step 2: Convert to fraction form
    12,023.88/16,593.87 = 6,920.97/x
  3. Step 3: Cross multiply
    12,023.88x = 16,593.87 × 6,920.97
  4. Step 4: Simplify right side
    12,023.88x = 114,845,676.45
  5. Step 5: Solve for x
    x = 114,845,676.45/12,023.88
  6. Step 6: Final answer
    x = 9,551.47

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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.