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Finding the Fourth Proportional to 28,009.50, 41,999.40 and 8,285.34

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Solution

The fourth proportional to 28,009.50, 41,999.40 and 8,285.34 is: 12,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009.50 : 41,999.40 = 8,285.34 : x
  2. Step 2: Convert to fraction form
    28,009.50/41,999.40 = 8,285.34/x
  3. Step 3: Cross multiply
    28,009.50x = 41,999.40 × 8,285.34
  4. Step 4: Simplify right side
    28,009.50x = 347,979,308.80
  5. Step 5: Solve for x
    x = 347,979,308.80/28,009.50
  6. Step 6: Final answer
    x = 12,423.62

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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.