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Finding the Fourth Proportional to 17,043.96, 23,520.84 and 9,969

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Solution

The fourth proportional to 17,043.96, 23,520.84 and 9,969 is: 13,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,043.96 : 23,520.84 = 9,969 : x
  2. Step 2: Convert to fraction form
    17,043.96/23,520.84 = 9,969/x
  3. Step 3: Cross multiply
    17,043.96x = 23,520.84 × 9,969
  4. Step 4: Simplify right side
    17,043.96x = 234,479,253.96
  5. Step 5: Solve for x
    x = 234,479,253.96/17,043.96
  6. Step 6: Final answer
    x = 13,757.32

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1.5x scale

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.