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Finding the Fourth Proportional to 16,499.82, 22,769.79 and 9,426.21

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Solution

The fourth proportional to 16,499.82, 22,769.79 and 9,426.21 is: 13,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.82 : 22,769.79 = 9,426.21 : x
  2. Step 2: Convert to fraction form
    16,499.82/22,769.79 = 9,426.21/x
  3. Step 3: Cross multiply
    16,499.82x = 22,769.79 × 9,426.21
  4. Step 4: Simplify right side
    16,499.82x = 214,632,822.20
  5. Step 5: Solve for x
    x = 214,632,822.20/16,499.82
  6. Step 6: Final answer
    x = 13,008.19

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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.