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Finding the Fourth Proportional to 17,454.61, 24,081.91 and 9,900.34

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Solution

The fourth proportional to 17,454.61, 24,081.91 and 9,900.34 is: 13,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.61 : 24,081.91 = 9,900.34 : x
  2. Step 2: Convert to fraction form
    17,454.61/24,081.91 = 9,900.34/x
  3. Step 3: Cross multiply
    17,454.61x = 24,081.91 × 9,900.34
  4. Step 4: Simplify right side
    17,454.61x = 238,419,096.85
  5. Step 5: Solve for x
    x = 238,419,096.85/17,454.61
  6. Step 6: Final answer
    x = 13,659.38

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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.