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Finding the Fourth Proportional to 16,761.53, 23,131.54 and 9,208.72

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Solution

The fourth proportional to 16,761.53, 23,131.54 and 9,208.72 is: 12,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.53 : 23,131.54 = 9,208.72 : x
  2. Step 2: Convert to fraction form
    16,761.53/23,131.54 = 9,208.72/x
  3. Step 3: Cross multiply
    16,761.53x = 23,131.54 × 9,208.72
  4. Step 4: Simplify right side
    16,761.53x = 213,011,915.45
  5. Step 5: Solve for x
    x = 213,011,915.45/16,761.53
  6. Step 6: Final answer
    x = 12,708.38

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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.