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Finding the Fourth Proportional to 14,697.54, 20,268.57 and 9,666

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Solution

The fourth proportional to 14,697.54, 20,268.57 and 9,666 is: 13,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.54 : 20,268.57 = 9,666 : x
  2. Step 2: Convert to fraction form
    14,697.54/20,268.57 = 9,666/x
  3. Step 3: Cross multiply
    14,697.54x = 20,268.57 × 9,666
  4. Step 4: Simplify right side
    14,697.54x = 195,915,997.62
  5. Step 5: Solve for x
    x = 195,915,997.62/14,697.54
  6. Step 6: Final answer
    x = 13,329.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.