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Finding the Fourth Proportional to 28,192.50, 42,289.05 and 11,540.92

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Solution

The fourth proportional to 28,192.50, 42,289.05 and 11,540.92 is: 17,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,192.50 : 42,289.05 = 11,540.92 : x
  2. Step 2: Convert to fraction form
    28,192.50/42,289.05 = 11,540.92/x
  3. Step 3: Cross multiply
    28,192.50x = 42,289.05 × 11,540.92
  4. Step 4: Simplify right side
    28,192.50x = 488,054,542.93
  5. Step 5: Solve for x
    x = 488,054,542.93/28,192.50
  6. Step 6: Final answer
    x = 17,311.50

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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.