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Finding the Fourth Proportional to 17,383.59, 23,989.14 and 9,726.75

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Solution

The fourth proportional to 17,383.59, 23,989.14 and 9,726.75 is: 13,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.59 : 23,989.14 = 9,726.75 : x
  2. Step 2: Convert to fraction form
    17,383.59/23,989.14 = 9,726.75/x
  3. Step 3: Cross multiply
    17,383.59x = 23,989.14 × 9,726.75
  4. Step 4: Simplify right side
    17,383.59x = 233,336,367.50
  5. Step 5: Solve for x
    x = 233,336,367.50/17,383.59
  6. Step 6: Final answer
    x = 13,422.80

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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.