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Finding the Fourth Proportional to 23,757.69, 35,640.18 and 8,966.28

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Solution

The fourth proportional to 23,757.69, 35,640.18 and 8,966.28 is: 13,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.69 : 35,640.18 = 8,966.28 : x
  2. Step 2: Convert to fraction form
    23,757.69/35,640.18 = 8,966.28/x
  3. Step 3: Cross multiply
    23,757.69x = 35,640.18 × 8,966.28
  4. Step 4: Simplify right side
    23,757.69x = 319,559,833.13
  5. Step 5: Solve for x
    x = 319,559,833.13/23,757.69
  6. Step 6: Final answer
    x = 13,450.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.