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Finding the Fourth Proportional to 23,187.72, 34,769.70 and 12,091.80

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Solution

The fourth proportional to 23,187.72, 34,769.70 and 12,091.80 is: 18,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.72 : 34,769.70 = 12,091.80 : x
  2. Step 2: Convert to fraction form
    23,187.72/34,769.70 = 12,091.80/x
  3. Step 3: Cross multiply
    23,187.72x = 34,769.70 × 12,091.80
  4. Step 4: Simplify right side
    23,187.72x = 420,428,258.46
  5. Step 5: Solve for x
    x = 420,428,258.46/23,187.72
  6. Step 6: Final answer
    x = 18,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.