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Finding the Fourth Proportional to 17,622.96, 24,315.88 and 11,164.48

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Solution

The fourth proportional to 17,622.96, 24,315.88 and 11,164.48 is: 15,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.96 : 24,315.88 = 11,164.48 : x
  2. Step 2: Convert to fraction form
    17,622.96/24,315.88 = 11,164.48/x
  3. Step 3: Cross multiply
    17,622.96x = 24,315.88 × 11,164.48
  4. Step 4: Simplify right side
    17,622.96x = 271,474,006.88
  5. Step 5: Solve for x
    x = 271,474,006.88/17,622.96
  6. Step 6: Final answer
    x = 15,404.56

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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.