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Finding the Fourth Proportional to 12,023.16, 16,591.63 and 6,645.97

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Solution

The fourth proportional to 12,023.16, 16,591.63 and 6,645.97 is: 9,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.16 : 16,591.63 = 6,645.97 : x
  2. Step 2: Convert to fraction form
    12,023.16/16,591.63 = 6,645.97/x
  3. Step 3: Cross multiply
    12,023.16x = 16,591.63 × 6,645.97
  4. Step 4: Simplify right side
    12,023.16x = 110,267,475.23
  5. Step 5: Solve for x
    x = 110,267,475.23/12,023.16
  6. Step 6: Final answer
    x = 9,171.26

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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.