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Finding the Fourth Proportional to 17,893.91, 24,695.87 and 10,820.38

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Solution

The fourth proportional to 17,893.91, 24,695.87 and 10,820.38 is: 14,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893.91 : 24,695.87 = 10,820.38 : x
  2. Step 2: Convert to fraction form
    17,893.91/24,695.87 = 10,820.38/x
  3. Step 3: Cross multiply
    17,893.91x = 24,695.87 × 10,820.38
  4. Step 4: Simplify right side
    17,893.91x = 267,218,697.83
  5. Step 5: Solve for x
    x = 267,218,697.83/17,893.91
  6. Step 6: Final answer
    x = 14,933.50

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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.