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Finding the Fourth Proportional to 17,169.74, 23,695.43 and 9,616.70

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Solution

The fourth proportional to 17,169.74, 23,695.43 and 9,616.70 is: 13,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,169.74 : 23,695.43 = 9,616.70 : x
  2. Step 2: Convert to fraction form
    17,169.74/23,695.43 = 9,616.70/x
  3. Step 3: Cross multiply
    17,169.74x = 23,695.43 × 9,616.70
  4. Step 4: Simplify right side
    17,169.74x = 227,871,675.12
  5. Step 5: Solve for x
    x = 227,871,675.12/17,169.74
  6. Step 6: Final answer
    x = 13,271.71

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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.