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Finding the Fourth Proportional to 17,222.64, 23,778.84 and 11,565.78

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Solution

The fourth proportional to 17,222.64, 23,778.84 and 11,565.78 is: 15,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.64 : 23,778.84 = 11,565.78 : x
  2. Step 2: Convert to fraction form
    17,222.64/23,778.84 = 11,565.78/x
  3. Step 3: Cross multiply
    17,222.64x = 23,778.84 × 11,565.78
  4. Step 4: Simplify right side
    17,222.64x = 275,020,832.10
  5. Step 5: Solve for x
    x = 275,020,832.10/17,222.64
  6. Step 6: Final answer
    x = 15,968.56

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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.