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Finding the Fourth Proportional to 17,262.09, 23,820.84 and 9,709.65

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Solution

The fourth proportional to 17,262.09, 23,820.84 and 9,709.65 is: 13,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262.09 : 23,820.84 = 9,709.65 : x
  2. Step 2: Convert to fraction form
    17,262.09/23,820.84 = 9,709.65/x
  3. Step 3: Cross multiply
    17,262.09x = 23,820.84 × 9,709.65
  4. Step 4: Simplify right side
    17,262.09x = 231,292,019.11
  5. Step 5: Solve for x
    x = 231,292,019.11/17,262.09
  6. Step 6: Final answer
    x = 13,398.84

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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.