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Finding the Fourth Proportional to 23,633.42, 32,613.71 and 13,022.82

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Solution

The fourth proportional to 23,633.42, 32,613.71 and 13,022.82 is: 17,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.42 : 32,613.71 = 13,022.82 : x
  2. Step 2: Convert to fraction form
    23,633.42/32,613.71 = 13,022.82/x
  3. Step 3: Cross multiply
    23,633.42x = 32,613.71 × 13,022.82
  4. Step 4: Simplify right side
    23,633.42x = 424,722,409.75
  5. Step 5: Solve for x
    x = 424,722,409.75/23,633.42
  6. Step 6: Final answer
    x = 17,971.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.