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Finding the Fourth Proportional to 16,164.36, 22,306.49 and 9,090.78

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Solution

The fourth proportional to 16,164.36, 22,306.49 and 9,090.78 is: 12,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.36 : 22,306.49 = 9,090.78 : x
  2. Step 2: Convert to fraction form
    16,164.36/22,306.49 = 9,090.78/x
  3. Step 3: Cross multiply
    16,164.36x = 22,306.49 × 9,090.78
  4. Step 4: Simplify right side
    16,164.36x = 202,783,423.62
  5. Step 5: Solve for x
    x = 202,783,423.62/16,164.36
  6. Step 6: Final answer
    x = 12,545.09

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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.