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Finding the Fourth Proportional to 28,269.57, 42,404.36 and 9,549.66

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Solution

The fourth proportional to 28,269.57, 42,404.36 and 9,549.66 is: 14,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,269.57 : 42,404.36 = 9,549.66 : x
  2. Step 2: Convert to fraction form
    28,269.57/42,404.36 = 9,549.66/x
  3. Step 3: Cross multiply
    28,269.57x = 42,404.36 × 9,549.66
  4. Step 4: Simplify right side
    28,269.57x = 404,947,220.52
  5. Step 5: Solve for x
    x = 404,947,220.52/28,269.57
  6. Step 6: Final answer
    x = 14,324.49

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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.