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Finding the Fourth Proportional to 17,751.78, 24,497.10 and 9,793.98

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Solution

The fourth proportional to 17,751.78, 24,497.10 and 9,793.98 is: 13,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.78 : 24,497.10 = 9,793.98 : x
  2. Step 2: Convert to fraction form
    17,751.78/24,497.10 = 9,793.98/x
  3. Step 3: Cross multiply
    17,751.78x = 24,497.10 × 9,793.98
  4. Step 4: Simplify right side
    17,751.78x = 239,924,107.46
  5. Step 5: Solve for x
    x = 239,924,107.46/17,751.78
  6. Step 6: Final answer
    x = 13,515.50

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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.