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Finding the Fourth Proportional to 28,214.14, 42,314.24 and 11,578.90

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Solution

The fourth proportional to 28,214.14, 42,314.24 and 11,578.90 is: 17,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.14 : 42,314.24 = 11,578.90 : x
  2. Step 2: Convert to fraction form
    28,214.14/42,314.24 = 11,578.90/x
  3. Step 3: Cross multiply
    28,214.14x = 42,314.24 × 11,578.90
  4. Step 4: Simplify right side
    28,214.14x = 489,952,353.54
  5. Step 5: Solve for x
    x = 489,952,353.54/28,214.14
  6. Step 6: Final answer
    x = 17,365.49

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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.