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Finding the Fourth Proportional to 17,589.46, 24,274 and 9,632.42

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Solution

The fourth proportional to 17,589.46, 24,274 and 9,632.42 is: 13,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.46 : 24,274 = 9,632.42 : x
  2. Step 2: Convert to fraction form
    17,589.46/24,274 = 9,632.42/x
  3. Step 3: Cross multiply
    17,589.46x = 24,274 × 9,632.42
  4. Step 4: Simplify right side
    17,589.46x = 233,817,363.08
  5. Step 5: Solve for x
    x = 233,817,363.08/17,589.46
  6. Step 6: Final answer
    x = 13,293.04

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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.