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Finding the Fourth Proportional to 17,234.37, 23,770.35 and 14,848.38

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Solution

The fourth proportional to 17,234.37, 23,770.35 and 14,848.38 is: 20,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.37 : 23,770.35 = 14,848.38 : x
  2. Step 2: Convert to fraction form
    17,234.37/23,770.35 = 14,848.38/x
  3. Step 3: Cross multiply
    17,234.37x = 23,770.35 × 14,848.38
  4. Step 4: Simplify right side
    17,234.37x = 352,951,189.53
  5. Step 5: Solve for x
    x = 352,951,189.53/17,234.37
  6. Step 6: Final answer
    x = 20,479.49

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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.