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Finding the Fourth Proportional to 17,458.46, 24,120.86 and 12,176.85

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Solution

The fourth proportional to 17,458.46, 24,120.86 and 12,176.85 is: 16,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.46 : 24,120.86 = 12,176.85 : x
  2. Step 2: Convert to fraction form
    17,458.46/24,120.86 = 12,176.85/x
  3. Step 3: Cross multiply
    17,458.46x = 24,120.86 × 12,176.85
  4. Step 4: Simplify right side
    17,458.46x = 293,716,094.09
  5. Step 5: Solve for x
    x = 293,716,094.09/17,458.46
  6. Step 6: Final answer
    x = 16,823.71

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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.