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Finding the Fourth Proportional to 28,209.50, 42,318.72 and 11,342.46

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Solution

The fourth proportional to 28,209.50, 42,318.72 and 11,342.46 is: 17,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209.50 : 42,318.72 = 11,342.46 : x
  2. Step 2: Convert to fraction form
    28,209.50/42,318.72 = 11,342.46/x
  3. Step 3: Cross multiply
    28,209.50x = 42,318.72 × 11,342.46
  4. Step 4: Simplify right side
    28,209.50x = 479,998,388.85
  5. Step 5: Solve for x
    x = 479,998,388.85/28,209.50
  6. Step 6: Final answer
    x = 17,015.49

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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.