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Finding the Fourth Proportional to 23,558, 32,511.84 and 13,489.60

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Solution

The fourth proportional to 23,558, 32,511.84 and 13,489.60 is: 18,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,558 : 32,511.84 = 13,489.60 : x
  2. Step 2: Convert to fraction form
    23,558/32,511.84 = 13,489.60/x
  3. Step 3: Cross multiply
    23,558x = 32,511.84 × 13,489.60
  4. Step 4: Simplify right side
    23,558x = 438,571,716.86
  5. Step 5: Solve for x
    x = 438,571,716.86/23,558
  6. Step 6: Final answer
    x = 18,616.68

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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.