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Finding the Fourth Proportional to 22,115.81, 30,549.01 and 16,384.89

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Solution

The fourth proportional to 22,115.81, 30,549.01 and 16,384.89 is: 22,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,115.81 : 30,549.01 = 16,384.89 : x
  2. Step 2: Convert to fraction form
    22,115.81/30,549.01 = 16,384.89/x
  3. Step 3: Cross multiply
    22,115.81x = 30,549.01 × 16,384.89
  4. Step 4: Simplify right side
    22,115.81x = 500,542,168.46
  5. Step 5: Solve for x
    x = 500,542,168.46/22,115.81
  6. Step 6: Final answer
    x = 22,632.78

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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.