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Finding the Fourth Proportional to 23,879.64, 32,953.23 and 13,269

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Solution

The fourth proportional to 23,879.64, 32,953.23 and 13,269 is: 18,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879.64 : 32,953.23 = 13,269 : x
  2. Step 2: Convert to fraction form
    23,879.64/32,953.23 = 13,269/x
  3. Step 3: Cross multiply
    23,879.64x = 32,953.23 × 13,269
  4. Step 4: Simplify right side
    23,879.64x = 437,256,408.87
  5. Step 5: Solve for x
    x = 437,256,408.87/23,879.64
  6. Step 6: Final answer
    x = 18,310.85

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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.