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Finding the Fourth Proportional to 17,114.57, 23,615.78 and 9,559.94

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Solution

The fourth proportional to 17,114.57, 23,615.78 and 9,559.94 is: 13,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.57 : 23,615.78 = 9,559.94 : x
  2. Step 2: Convert to fraction form
    17,114.57/23,615.78 = 9,559.94/x
  3. Step 3: Cross multiply
    17,114.57x = 23,615.78 × 9,559.94
  4. Step 4: Simplify right side
    17,114.57x = 225,765,486.94
  5. Step 5: Solve for x
    x = 225,765,486.94/17,114.57
  6. Step 6: Final answer
    x = 13,191.42

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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.