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Finding the Fourth Proportional to 17,855.45, 24,635.64 and 11,142.16

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Solution

The fourth proportional to 17,855.45, 24,635.64 and 11,142.16 is: 15,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.45 : 24,635.64 = 11,142.16 : x
  2. Step 2: Convert to fraction form
    17,855.45/24,635.64 = 11,142.16/x
  3. Step 3: Cross multiply
    17,855.45x = 24,635.64 × 11,142.16
  4. Step 4: Simplify right side
    17,855.45x = 274,494,222.78
  5. Step 5: Solve for x
    x = 274,494,222.78/17,855.45
  6. Step 6: Final answer
    x = 15,373.13

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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.