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Finding the Fourth Proportional to 17,119.68, 23,625.66 and 9,565.78

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Solution

The fourth proportional to 17,119.68, 23,625.66 and 9,565.78 is: 13,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,119.68 : 23,625.66 = 9,565.78 : x
  2. Step 2: Convert to fraction form
    17,119.68/23,625.66 = 9,565.78/x
  3. Step 3: Cross multiply
    17,119.68x = 23,625.66 × 9,565.78
  4. Step 4: Simplify right side
    17,119.68x = 225,997,865.91
  5. Step 5: Solve for x
    x = 225,997,865.91/17,119.68
  6. Step 6: Final answer
    x = 13,201.06

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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.