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Finding the Fourth Proportional to 16,761.96, 23,128.74 and 9,687.96

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Solution

The fourth proportional to 16,761.96, 23,128.74 and 9,687.96 is: 13,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.96 : 23,128.74 = 9,687.96 : x
  2. Step 2: Convert to fraction form
    16,761.96/23,128.74 = 9,687.96/x
  3. Step 3: Cross multiply
    16,761.96x = 23,128.74 × 9,687.96
  4. Step 4: Simplify right side
    16,761.96x = 224,070,307.97
  5. Step 5: Solve for x
    x = 224,070,307.97/16,761.96
  6. Step 6: Final answer
    x = 13,367.79

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1.5x scale

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.