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Finding the Fourth Proportional to 17,335.80, 23,923.38 and 9,782.13

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Solution

The fourth proportional to 17,335.80, 23,923.38 and 9,782.13 is: 13,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.80 : 23,923.38 = 9,782.13 : x
  2. Step 2: Convert to fraction form
    17,335.80/23,923.38 = 9,782.13/x
  3. Step 3: Cross multiply
    17,335.80x = 23,923.38 × 9,782.13
  4. Step 4: Simplify right side
    17,335.80x = 234,021,613.20
  5. Step 5: Solve for x
    x = 234,021,613.20/17,335.80
  6. Step 6: Final answer
    x = 13,499.33

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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.