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Finding the Fourth Proportional to 17,751, 24,496.32 and 9,793.18

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Solution

The fourth proportional to 17,751, 24,496.32 and 9,793.18 is: 13,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751 : 24,496.32 = 9,793.18 : x
  2. Step 2: Convert to fraction form
    17,751/24,496.32 = 9,793.18/x
  3. Step 3: Cross multiply
    17,751x = 24,496.32 × 9,793.18
  4. Step 4: Simplify right side
    17,751x = 239,896,871.10
  5. Step 5: Solve for x
    x = 239,896,871.10/17,751
  6. Step 6: Final answer
    x = 13,514.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.