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Finding the Fourth Proportional to 23,632.38, 32,613.38 and 13,022.70

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Solution

The fourth proportional to 23,632.38, 32,613.38 and 13,022.70 is: 17,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.38 : 32,613.38 = 13,022.70 : x
  2. Step 2: Convert to fraction form
    23,632.38/32,613.38 = 13,022.70/x
  3. Step 3: Cross multiply
    23,632.38x = 32,613.38 × 13,022.70
  4. Step 4: Simplify right side
    23,632.38x = 424,714,290.13
  5. Step 5: Solve for x
    x = 424,714,290.13/23,632.38
  6. Step 6: Final answer
    x = 17,971.71

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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.