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Finding the Fourth Proportional to 17,264.48, 23,823.23 and 9,709.61

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Solution

The fourth proportional to 17,264.48, 23,823.23 and 9,709.61 is: 13,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.48 : 23,823.23 = 9,709.61 : x
  2. Step 2: Convert to fraction form
    17,264.48/23,823.23 = 9,709.61/x
  3. Step 3: Cross multiply
    17,264.48x = 23,823.23 × 9,709.61
  4. Step 4: Simplify right side
    17,264.48x = 231,314,104.58
  5. Step 5: Solve for x
    x = 231,314,104.58/17,264.48
  6. Step 6: Final answer
    x = 13,398.27

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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.