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Finding the Fourth Proportional to 17,967.38, 24,795.02 and 10,415.18

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Solution

The fourth proportional to 17,967.38, 24,795.02 and 10,415.18 is: 14,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.38 : 24,795.02 = 10,415.18 : x
  2. Step 2: Convert to fraction form
    17,967.38/24,795.02 = 10,415.18/x
  3. Step 3: Cross multiply
    17,967.38x = 24,795.02 × 10,415.18
  4. Step 4: Simplify right side
    17,967.38x = 258,244,596.40
  5. Step 5: Solve for x
    x = 258,244,596.40/17,967.38
  6. Step 6: Final answer
    x = 14,372.97

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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.