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Finding the Fourth Proportional to 17,739.73, 24,481.92 and 9,781.93

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Solution

The fourth proportional to 17,739.73, 24,481.92 and 9,781.93 is: 13,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739.73 : 24,481.92 = 9,781.93 : x
  2. Step 2: Convert to fraction form
    17,739.73/24,481.92 = 9,781.93/x
  3. Step 3: Cross multiply
    17,739.73x = 24,481.92 × 9,781.93
  4. Step 4: Simplify right side
    17,739.73x = 239,480,427.71
  5. Step 5: Solve for x
    x = 239,480,427.71/17,739.73
  6. Step 6: Final answer
    x = 13,499.67

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1.5x scale

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.