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Finding the Fourth Proportional to 17,771.46, 24,516.84 and 10,216.05

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Solution

The fourth proportional to 17,771.46, 24,516.84 and 10,216.05 is: 14,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.46 : 24,516.84 = 10,216.05 : x
  2. Step 2: Convert to fraction form
    17,771.46/24,516.84 = 10,216.05/x
  3. Step 3: Cross multiply
    17,771.46x = 24,516.84 × 10,216.05
  4. Step 4: Simplify right side
    17,771.46x = 250,465,263.28
  5. Step 5: Solve for x
    x = 250,465,263.28/17,771.46
  6. Step 6: Final answer
    x = 14,093.68

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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.