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Finding the Fourth Proportional to 17,146.48, 23,670.74 and 16,230.78

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Solution

The fourth proportional to 17,146.48, 23,670.74 and 16,230.78 is: 22,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.48 : 23,670.74 = 16,230.78 : x
  2. Step 2: Convert to fraction form
    17,146.48/23,670.74 = 16,230.78/x
  3. Step 3: Cross multiply
    17,146.48x = 23,670.74 × 16,230.78
  4. Step 4: Simplify right side
    17,146.48x = 384,194,573.38
  5. Step 5: Solve for x
    x = 384,194,573.38/17,146.48
  6. Step 6: Final answer
    x = 22,406.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.