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Finding the Fourth Proportional to 23,272, 32,115.36 and 13,336

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Solution

The fourth proportional to 23,272, 32,115.36 and 13,336 is: 18,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272 : 32,115.36 = 13,336 : x
  2. Step 2: Convert to fraction form
    23,272/32,115.36 = 13,336/x
  3. Step 3: Cross multiply
    23,272x = 32,115.36 × 13,336
  4. Step 4: Simplify right side
    23,272x = 428,290,440.96
  5. Step 5: Solve for x
    x = 428,290,440.96/23,272
  6. Step 6: Final answer
    x = 18,403.68

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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.