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Finding the Fourth Proportional to 23,633.34, 32,613.74 and 13,424.30

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Solution

The fourth proportional to 23,633.34, 32,613.74 and 13,424.30 is: 18,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.34 : 32,613.74 = 13,424.30 : x
  2. Step 2: Convert to fraction form
    23,633.34/32,613.74 = 13,424.30/x
  3. Step 3: Cross multiply
    23,633.34x = 32,613.74 × 13,424.30
  4. Step 4: Simplify right side
    23,633.34x = 437,816,629.88
  5. Step 5: Solve for x
    x = 437,816,629.88/23,633.34
  6. Step 6: Final answer
    x = 18,525.38

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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.