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Finding the Fourth Proportional to 17,469, 26,076.66 and 16,168.02

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Solution

The fourth proportional to 17,469, 26,076.66 and 16,168.02 is: 24,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469 : 26,076.66 = 16,168.02 : x
  2. Step 2: Convert to fraction form
    17,469/26,076.66 = 16,168.02/x
  3. Step 3: Cross multiply
    17,469x = 26,076.66 × 16,168.02
  4. Step 4: Simplify right side
    17,469x = 421,607,960.41
  5. Step 5: Solve for x
    x = 421,607,960.41/17,469
  6. Step 6: Final answer
    x = 24,134.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.