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Finding the Fourth Proportional to 17,654.98, 24,364.38 and 9,697.73

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Solution

The fourth proportional to 17,654.98, 24,364.38 and 9,697.73 is: 13,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.98 : 24,364.38 = 9,697.73 : x
  2. Step 2: Convert to fraction form
    17,654.98/24,364.38 = 9,697.73/x
  3. Step 3: Cross multiply
    17,654.98x = 24,364.38 × 9,697.73
  4. Step 4: Simplify right side
    17,654.98x = 236,279,038.85
  5. Step 5: Solve for x
    x = 236,279,038.85/17,654.98
  6. Step 6: Final answer
    x = 13,383.14

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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.