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Finding the Fourth Proportional to 17,214.39, 23,754.47 and 9,659.67

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Solution

The fourth proportional to 17,214.39, 23,754.47 and 9,659.67 is: 13,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.39 : 23,754.47 = 9,659.67 : x
  2. Step 2: Convert to fraction form
    17,214.39/23,754.47 = 9,659.67/x
  3. Step 3: Cross multiply
    17,214.39x = 23,754.47 × 9,659.67
  4. Step 4: Simplify right side
    17,214.39x = 229,460,292.93
  5. Step 5: Solve for x
    x = 229,460,292.93/17,214.39
  6. Step 6: Final answer
    x = 13,329.56

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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.