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Finding the Fourth Proportional to 23,884.63, 35,832.81 and 11,882.45

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Solution

The fourth proportional to 23,884.63, 35,832.81 and 11,882.45 is: 17,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.63 : 35,832.81 = 11,882.45 : x
  2. Step 2: Convert to fraction form
    23,884.63/35,832.81 = 11,882.45/x
  3. Step 3: Cross multiply
    23,884.63x = 35,832.81 × 11,882.45
  4. Step 4: Simplify right side
    23,884.63x = 425,781,572.95
  5. Step 5: Solve for x
    x = 425,781,572.95/23,884.63
  6. Step 6: Final answer
    x = 17,826.59

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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.