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Finding the Fourth Proportional to 23,842, 32,902.68 and 13,232.62

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Solution

The fourth proportional to 23,842, 32,902.68 and 13,232.62 is: 18,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842 : 32,902.68 = 13,232.62 : x
  2. Step 2: Convert to fraction form
    23,842/32,902.68 = 13,232.62/x
  3. Step 3: Cross multiply
    23,842x = 32,902.68 × 13,232.62
  4. Step 4: Simplify right side
    23,842x = 435,388,661.42
  5. Step 5: Solve for x
    x = 435,388,661.42/23,842
  6. Step 6: Final answer
    x = 18,261.42

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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.