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Finding the Fourth Proportional to 23,882.93, 35,769.77 and 11,411.71

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Solution

The fourth proportional to 23,882.93, 35,769.77 and 11,411.71 is: 17,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.93 : 35,769.77 = 11,411.71 : x
  2. Step 2: Convert to fraction form
    23,882.93/35,769.77 = 11,411.71/x
  3. Step 3: Cross multiply
    23,882.93x = 35,769.77 × 11,411.71
  4. Step 4: Simplify right side
    23,882.93x = 408,194,095.52
  5. Step 5: Solve for x
    x = 408,194,095.52/23,882.93
  6. Step 6: Final answer
    x = 17,091.46

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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.