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Finding the Fourth Proportional to 17,832.65, 24,609.82 and 9,874.86

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Solution

The fourth proportional to 17,832.65, 24,609.82 and 9,874.86 is: 13,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.65 : 24,609.82 = 9,874.86 : x
  2. Step 2: Convert to fraction form
    17,832.65/24,609.82 = 9,874.86/x
  3. Step 3: Cross multiply
    17,832.65x = 24,609.82 × 9,874.86
  4. Step 4: Simplify right side
    17,832.65x = 243,018,527.13
  5. Step 5: Solve for x
    x = 243,018,527.13/17,832.65
  6. Step 6: Final answer
    x = 13,627.73

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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.