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Finding the Fourth Proportional to 23,844, 32,905.44 and 13,234.62

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Solution

The fourth proportional to 23,844, 32,905.44 and 13,234.62 is: 18,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844 : 32,905.44 = 13,234.62 : x
  2. Step 2: Convert to fraction form
    23,844/32,905.44 = 13,234.62/x
  3. Step 3: Cross multiply
    23,844x = 32,905.44 × 13,234.62
  4. Step 4: Simplify right side
    23,844x = 435,490,994.33
  5. Step 5: Solve for x
    x = 435,490,994.33/23,844
  6. Step 6: Final answer
    x = 18,264.18

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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.