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Finding the Fourth Proportional to 20,133.48, 27,784.50 and 12,174.30

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Solution

The fourth proportional to 20,133.48, 27,784.50 and 12,174.30 is: 16,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.48 : 27,784.50 = 12,174.30 : x
  2. Step 2: Convert to fraction form
    20,133.48/27,784.50 = 12,174.30/x
  3. Step 3: Cross multiply
    20,133.48x = 27,784.50 × 12,174.30
  4. Step 4: Simplify right side
    20,133.48x = 338,256,838.35
  5. Step 5: Solve for x
    x = 338,256,838.35/20,133.48
  6. Step 6: Final answer
    x = 16,800.71

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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.