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Finding the Fourth Proportional to 17,209.40, 23,749.24 and 9,657.40

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Solution

The fourth proportional to 17,209.40, 23,749.24 and 9,657.40 is: 13,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.40 : 23,749.24 = 9,657.40 : x
  2. Step 2: Convert to fraction form
    17,209.40/23,749.24 = 9,657.40/x
  3. Step 3: Cross multiply
    17,209.40x = 23,749.24 × 9,657.40
  4. Step 4: Simplify right side
    17,209.40x = 229,355,910.38
  5. Step 5: Solve for x
    x = 229,355,910.38/17,209.40
  6. Step 6: Final answer
    x = 13,327.36

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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.