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Finding the Fourth Proportional to 16,178.89, 22,326.37 and 9,008.82

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Solution

The fourth proportional to 16,178.89, 22,326.37 and 9,008.82 is: 12,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.89 : 22,326.37 = 9,008.82 : x
  2. Step 2: Convert to fraction form
    16,178.89/22,326.37 = 9,008.82/x
  3. Step 3: Cross multiply
    16,178.89x = 22,326.37 × 9,008.82
  4. Step 4: Simplify right side
    16,178.89x = 201,134,136.42
  5. Step 5: Solve for x
    x = 201,134,136.42/16,178.89
  6. Step 6: Final answer
    x = 12,431.89

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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.