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Finding the Fourth Proportional to 23,651.83, 32,635.97 and 13,580.70

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Solution

The fourth proportional to 23,651.83, 32,635.97 and 13,580.70 is: 18,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.83 : 32,635.97 = 13,580.70 : x
  2. Step 2: Convert to fraction form
    23,651.83/32,635.97 = 13,580.70/x
  3. Step 3: Cross multiply
    23,651.83x = 32,635.97 × 13,580.70
  4. Step 4: Simplify right side
    23,651.83x = 443,219,317.78
  5. Step 5: Solve for x
    x = 443,219,317.78/23,651.83
  6. Step 6: Final answer
    x = 18,739.32

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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.