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Finding the Fourth Proportional to 17,468.22, 24,122.16 and 11,096.86

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Solution

The fourth proportional to 17,468.22, 24,122.16 and 11,096.86 is: 15,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.22 : 24,122.16 = 11,096.86 : x
  2. Step 2: Convert to fraction form
    17,468.22/24,122.16 = 11,096.86/x
  3. Step 3: Cross multiply
    17,468.22x = 24,122.16 × 11,096.86
  4. Step 4: Simplify right side
    17,468.22x = 267,680,232.42
  5. Step 5: Solve for x
    x = 267,680,232.42/17,468.22
  6. Step 6: Final answer
    x = 15,323.84

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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.